The nth term formula of a sequence is given as Tn = 5n+1. Use it to find the first 5 terms of squence

Answers

Answer 1

Answer:

The first 5 terms are [tex]6,11,16,21,26[/tex]

Step-by-step explanation:

Given: [tex]T_n=5n+1[/tex]

To find: the first 5 terms of sequence

Solution:

To find the first 5 terms of sequence, put [tex]n=1,2,3,4,5[/tex] in [tex]T_n=5n+1[/tex]

[tex]T_1=5(1)+1=5+1=6\\T_2=5(2)+1=10+1=11\\T_3=5(3)+1=15+1=16\\T_4=5(4)+1=20+1=21\\T_5=5(5)+1=25+1=26[/tex]

So, the first 5 terms are [tex]6,11,16,21,26[/tex]


Related Questions

6th grade math help me pleasee

Answers

Answer:

4.5

Step-by-step explanation:

i had that question before

Answer:

4.5

Step-by-step explanation:

π ≅ 3.14

4² < 23 < 5²

4 < √23 < 5

3.14 < √23 < 5

rewrite 3^-4 without negative exponents

a. 81
b. -81
c. 1/81
d. -1/81

Answers

Answer

1/81(C)

Step-by-step solution

(3)^4=81

if 3^-1=1/3

so, 3^-4=1/81(C)

Rick wants to divide his 11 inch ribbon into sections
spaced apart 2 1/3 centimeters.
How many holes would Rick have on his ribbon?

Answers

Answer:

12

Step-by-step explanation:

since 1 inch equals 2.54 cm then 11 inches equals 27.94 cm

27.94 ÷ 2.33 = 11.99

A store sold 650 bicycles last year. This year the store sold 572 bicycles. What is the percent decrease in the number of bicycles sold from last year to this year? PLEASE HELP

Answers

Answer:

Decreased by 12%

Step-by-step explanation:

to find percentage change ---     new-original/original x 100

-78/650 x100 = -12%

The Gonzalez family sold their home for $256,000. Their real estate agent earned 5.5% in commission of that sale. How much did the Gonzalez family get to keep from the sale?

Answers

The Gonzalez family kept 241,920 from the sale

1. Malik has $30,000 in a savings account that earns 8% annually.
The interest is not compounded. How much total money will he
have in 2 years after collecting the interest?
a. How much simple interest did Malik receive?
$
b. How much total money does Malik have after the 2 years?
$

Answers

Step-by-step explanation:

I= prt

I= 30000×8%×2

I= 4800

total = 30000+4800

=34800

QUICK! Mike and Andy are each reading the same book. Mike read 2/4 of the book on Tuesday and 1/3 of the book on Wednesday. Andy read 1/2 of the book on Tuesday and 1/5 of the book on Wednesday. Andy says that altogether he read more of the book on Tuesday and Wednesday than Mike. Is Andy correct?

Answers

Answer:

Andrew is wrong

Step-by-step explanation:

You need to add the fractions together. To add fractions you need a common denominator, so for mike 2/4 changes to 6/12 and 1/3 changes to 4/12 meaning he read 10/12 of the book. Andy read 1/2 or 5/10 and 1/5 or 2/10 so 7/10. By cross multiplying we see that 10/12 is greater so mike read more.

Answer:

Mike read more of the book

Step-by-step explanation:

I made 1/3 and 1/5 into a equal fraction and 1/3 would be 5/15 and 1/5 would be 3/15 and 2/4 and 1/2 are the same so it just comes to to 1/3 and 1/5. Mike read more of the book than Andy

Marissa is standing next to an 18-foot tall flagpole that is casting a 12 foot long shadow. If Masissa's shadow is 3 1/2 feet long, how tall is marissa?

Answers

Answer: 5.25ft

Step-by-step explanation:

See picture

Answer:

5'2"

Step-by-step explanation:

Which rule describes rotating 90° counterclockwise?

(x,y)➪(-x,-y)

(x,y)➪ (y -X)

(x,y)➪(x,y)

(x,y)➪(-y,x)

Answers

the first one answer

What expressions equivalent to 25c+15 ? ( more than one answer )

A. 25c+15/5
B. 5c+15
C. 3+5c
D. 1/5(25c+15)
E. 5(25c+15)

Answers

Answer:

The only one that looks familiar is B sorry >-<

Step-by-step explanation:

Answer: The correct answers are C and B

Step-by-step explanation:

inspiración del poema nocturno de José Asunción​

Answers

Answer:

it means, insperation is poetic not the Jose Asuncion

Step-by-step explanation:

15% of $9 is $
please show how you got your answer.

Answers

Answer:

1.35$

Step-by-step explanation:

Answer: 1.35

Step-by-step explanation:

[tex]\frac{15}{100}[/tex]×9= 1.35

hope this helps :)

SIMPLIFY THE RADICAL EXPRESSION

7.∛81
8.∛128
9.∛40
10.∛135

Answers

Well you can find the solution using the calculator
The answers:
27
33.9
18.97
34.85

1. The people of Whoville were shopping like crazy to get their lists completed! One customer bought a wreath for $12 and seven ornaments. The customer spent a total of $54. How much did each ornament cost?

2. If the average size of a heart is 12 cm and the Grinch's heart is "maybe" two sizes too small . How many centimeters is the Grinch's heart?​

Answers

Answer:

i came from da one dude with 4 questtions, uhm

$52 - $12 is $40

$40 divided by 7 is 5.71428571??

so i would say about $6.00 for each ornament

and easy, 12 divided by 2 is 6 so his heart is 6 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is my other ACC, just click the crown

Which of the following is equal to 287 ÷ 7?
A.
(280 ÷ 7) + (7 ÷ 7)
B.
(280 ÷ 7) - (7 ÷ 7)
C.
(280 + 7) ÷ (7 + 7)
D.
(280 ÷ 7) + (280 ÷ 7)

Answers

Answer:

(280+7) ÷ (7+7)

Step-by-step explanation:

hopefully this helps ya

The equation that is equal to 287 ÷ 7 is (280 + 7) ÷ (7 + 7). The correct option is C.

What is equation?

An equation is a statement in mathematics that shows that two expressions are equal. It has two sides that are separated by an equal sign.

To find the value of 287 ÷ 7, we can use the following methods:

(280 ÷ 7) + (7 ÷ 7) = 40 + 1 = 41(280 ÷ 7) - (7 ÷ 7) = 40 - 1 = 39(280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5(280 ÷ 7) + (280 ÷ 7) = 40 + 40 = 80

We can simplify 287 ÷ 7 as follows:

287 ÷ 7 = 280 ÷ 7 + 7 ÷ 7

Note that 7 ÷ 7 simplifies to 1, so we have:

287 ÷ 7 = 280 ÷ 7 + 1

Therefore, the answer is C. (280 + 7) ÷ (7 + 7) = 287 ÷ 14 = 20.5.

For more details regarding equation, visit:

https://brainly.com/question/29657983

#SPJ2

A painter is placing a ladder to reach the third story window, which is 14 feet above the ground and makes an angle with the ground at 70°


How far out from the base of the building does the ladder need to be positioned? Round your answer to the nearest tenth.

Answers

Answer:

4.8

Step-by-step explanation:

We are given the hypotunese or the slanted side which is the ladder length which is 14.

We are given an angle at the bottom which is 70 degrees.

We are asked to find the horizontal side which is adjacent to the angle at the bottom.

Since we have a hypotunese and a side adjacent to the angle, we are going to use the function cosine.

we use this formula

[tex] \cos(theta) = \frac{adj}{hypo} [/tex]

[tex] \cos(70) = \frac{x}{14} [/tex]

x=4.8

could you explain to me how to do this ? I do not understand at all

Answers

Answer:

I believe this is how you do it

Step-by-step explanation:

csc∅tan∅

(1/sin∅)(sin∅/cos∅)

(sin∅)/(sin∅cos∅)

1/(cos∅)

sec∅

csc²∅tan²∅sin∅

1/(sin²∅) * tan²∅ * sin∅

tan²∅/sin²∅ * sin∅

tan²∅/sin∅

32) In a triangle, the exterior angle is twice of each of the interior remote angles. The exterior angle is 1200. Find the measure of the three angles of the triangle.

Answers

Answer:

60 degrees each

Step-by-step explanation:

For the triangle, the sum of the interior angles is equal to the exterior

Let x and y be interior

Let z be the third angle

w be the exterior

w = x+y

120 = x+y

If the exterior angle is twice of each of the interior remote angles, then;

2x = 2y

x = y

120 = x+x

2x = 120

x = 60

Since x = y, y  = 60 degres

From the triangle, the third angle will be 180 - 120

z = 180-120

z = 60

The measures of the 3 angles are 60 degrees each

BRAINLIST BRAINLIST BRAINLIST

Answers

Answer:

0.5 onces

Step-by-step explanation:

Answer:

0.50 ounce

Step-by-step explanation:

Hope I am right forgive me if I am not

BRAINLIEST Please help i'd appreciate it thanks, Have a nice day :)

Answers

Answer: 70 square centimeters.

Explanation: The area of a parallelogram is base times height.

Because the parallelograms are congruent, we can do 4*(3.5*5), which equals 70 square centimeters.

Hi guys I am new here. Let me introduce myself . Jasmin, 15 years old and in 9th class. Hope I will have a good time in here.​

Answers

Answer:

Hope so too

Step-by-step explanation:

Sally wants to decrease 150 by 3% Complete this statement to show how Sally can decrease 150 by 3%

150x ___=_____
first=
second=

Answers

Ok I’m not sure this is right but I did 150x 3% and got 4.5!

i need help here!!!! pls help pls pls pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

go with a on the first one and c on

Which Venn diagram is NOT correct? (Geometry Multiple CHoice)

Answers

i think it would be d

Answer:

option D is the correct answer of this question .

plz mark my answer as brainlist plzzzz.

What are the constant(s) in the expression 6y+3x-2​

Answers

Answer:

2 is a contact but 6 and y are not because six is with y and 3 is with x

Step-by-step explanation:

John has 44 quarters.
Jan has 100 dimes. Who
has more money?

Answers

John has more.

John has $11 while Jan has $10

On a biased dice the probability of getting 1 is 0.3. The ice is rolled 150 times. How many ones would you expect to roll?

Answers

Answer:  45

=====================================================

Work Shown:

n = number of rolls = 150

p = probability of rolling a "1" = 0.3

n*p = expected number of "1"s that show up out of the 150 rolls

n*p = 150*0.3

n*p = 45

We expect about 45 ones will show up.

A binary search is to be performed on the list: 1 , 5 ,10 , 13 , 48 , 68 , 100 , 101 How many comparisons would it take to the find the number 101?

Answers

Answer:

3 comparisons

Step-by-step explanation:

Given:

[tex]List: 1 , 5 ,10 , 13 , 48 , 68 , 100 , 101[/tex]

Required

Determine the number of comparisons to get to 101

The length of the list is 8. So, the first index is 0 and the last is 7.

We have:

[tex]List[0] = 1[/tex]   [tex]List[1] = 5[/tex]   [tex]List[2] = 10[/tex]     [tex]List[3] = 13[/tex]    

[tex]List[4] = 48[/tex]    [tex]List[5] = 68[/tex]    [tex]List[6] = 100[/tex]    [tex]List[7] = 101[/tex]

Initially:

[tex]begin = 0[/tex] -- first index

[tex]end = 7[/tex] --- last index

Start by calculating the mid-item

[tex]mid = \frac{1}{2}(begin + end)[/tex]

[tex]mid = \frac{1}{2}(0 + 7)[/tex]

[tex]mid = \frac{1}{2}(7)[/tex]

[tex]mid = 3.5[/tex]

[tex]mid = 4[/tex] --- approximated.

The mid-index is 4 and the item is:

[tex]List[4] = 48[/tex]

101 is on the right of 48.

So, we calculate the new begin index.

[tex]begin = mid + 1[/tex]

[tex]begin= 4 +1[/tex]

[tex]begin = 5[/tex]

Calculate mid

[tex]mid = \frac{1}{2}(begin + end)[/tex]

[tex]mid = \frac{1}{2}(5 + 7)[/tex]

[tex]mid = \frac{1}{2}(12)[/tex]

[tex]mid= 6[/tex]

The mid-index is 6 and the item is:

[tex]List[6] = 100[/tex]

101 is on the right of 100.

So, we calculate the new begin index.

[tex]begin = mid + 1[/tex]

[tex]begin = 6 +1[/tex]

[tex]begin= 7[/tex]

Calculate mid

[tex]mid = \frac{1}{2}(begin + end)[/tex]

[tex]mid = \frac{1}{2}(7+7)[/tex]

[tex]mid = \frac{1}{2}(14)[/tex]

[tex]mid = 7[/tex]

At this point, the mid-index is at 101

i.e.

[tex]List[7] = 101[/tex]

This implies that, we have located 101.

So far, we made 3 comparisons

[tex]4[/tex] comparisons are needed to find the number [tex]101[/tex] in the list.

Binary search algorithm searches for a number in a sorted list/array. It does this by first comparing the number in the middle of the array with the number searched for, then recursively continuing the search on either the left-half or right-half of the array if the middle comparison failed.

The element [tex]101[/tex], is at the rightmost end of the array. This means that the algorithm will have a worst case running time. The worst case running time of a binary search algorithm is given by

[tex]T_n=\lfloor log_2(n)+1\rfloor[/tex]

where [tex]\lfloor x \rfloor[/tex] is the floor function that gives the greatest integer less than or equal to [tex]x[/tex], and [tex]log_2(n)[/tex] is the logarithm of [tex]n[/tex] to base [tex]2[/tex]

In our case, the number of elements in the array, [tex]n=8[/tex]. So,

[tex]T_n=\lfloor log_2(n)+1\rfloor\\\implies T_8=\lfloor log_2(8)+1\rfloor = 4\\[/tex]

So, the algorithm will need to make [tex]4[/tex] mid-array comparisons to get to [tex]101[/tex].

Learn more about Binary search here: https://brainly.com/question/11305694

Help plz due today and don't worry abt my answers

Answers

this is for the one with the green background :) I corrected a few of the errors that collided with the answers for the 3 qns you didn’t know. Hope this helps!!!

The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.

If the length of AO is three times the length of CO, the length of DC is
A. three times the length of OC
B. three times the length of DO
C. one-third of the length of AC
D. one-third of the length of AB

Answers

Answer:

I believe it's D.

Lmk if I was right, cause I'm 98% sure on this

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