For an AP the first term is 4 and last term is 31 the sum of all the term is 420 what is value of n

Answers

Answer 1

Answer:

n = 24

Step-by-step explanation:

From the question,

The formula for the sum of the term in an AP is given as

Sₙ = n(a+L)/2.................. Equation 1

Where Sₙ = sum of the nth term, n = number of term, a = first term, L = last term.

make n the subject of the equation

n = 2Sₙ/(a+L)................. Equation 2

Given: Sₙ = 420, a = 4, L = 31

Substitute these values into equation 2

n = (2×420)/(4+31)

n = (840)/35

n = 24.

Hence, n = 24


Related Questions


At what point do the lines y = 6x – 18 and
y=8x – 32 intersect?

Answers

Answer:

(7, 24)

Step-by-step explanation:

Solve the system:

6x - 18 = 8x - 32

2x = 14

x = 7

y = 6(7) - 18

y = 24

I NEED HELP ASAPPP!!!!!

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Answer:

12

Step-by-step explanation:

the answer is 28 because every number is +8.

Enter the length of Side AC, to the nearest tenth. plzzz hellpppp its urgent​

Answers

Answer:

33

Step-by-step explanation:

90-57

right triangle is 90

Rearrange the following formula so that
d
is the subject:



p= d²/7

Answers

Answer:

d= sqrt(7p)

multiply both sides by 7,take the square root of both sides

Can someone please help me answer this question asap

Answers

Answer: A, C, F

1/4 of 12 is 3 so she walked a total of 15 miles

Circle all answers that equal 15 miles

what is the slope of a line that contains the points -1,-1 and 3,15?
A 4
B 1/4
C -1/4
D -4

Answers

Answer:

B

Step-by-step explanation:

rule out c and d cause its positive and its not a so B

B that’s the answer

help me what is the answer

Answers

Answer:

A. rational

Step-by-step explanation:

ive learned this before

Answer:

Whole C)

Square root of 144 is 12

Hope this helps! Have a nice life!

If the probability that the islanders will beat the rangers in a game is 61%, what is the probability that the islanders will win exactly one out of six games in a series against the rangers? Round your answer to the nearest thousandth.

Answers

Answer:

0.1328 is the probability that the Islanders will win exactly zero out of six games in a series against the Rangers.

Step-by-step explanation:

helpppppp What is the value of the expression 7 + (16 − 7) ÷ 3 + 8? worth 15 points

12
15
17
18

Answers

Answer is 18, just did the math myself :)

Answer:

18

Step-by-step explanation:

PEMDAS

Parenthesis: 7+(9)/3+8

Division: 7+3+8

Addition: 18

What is the next term of the arithmetic sequence? 1,3,5,7,9,1,3,5,7,9

Answers

The next term is 1.

Please help me with this question

Answers

Answer:

4x+6y

Step-by-step explanation:

Help me will mark brainliest!!!

Answers

Answer:

a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction. It can extend infinitely in one direction.

Answer:

A ray can intersect a circle in a line segment

Because when a ray will pass through a circle,it will Pass through two points making it a line segment in the circle


HELP ME PLEASE ?!?!?

Answers

Step-by-step explanation:

According to phythagorous theorem

c²= 8²+6²

= c²=64+36

= c²=100

= c= \/100

c = 10 mm

Answer:

[tex]6 {}^{2} + 8 { }^{2} = 36 + 64 = 100[/tex]

H=√100=10mm

Hope it helps

Have a good day

Emma has one more than twice as many toys as Alice has. Altogether Alice and Emma have 13 toys. How many toys do Emma and Alice each have?

Answers

Emma has 9 toys and Alice has 4 toys.

Function 2: y = 8x + 12
How much more is the rate of change of function 2 than the rate of change of function 1? 03 04 05​

Answers

Answer:

8

Step-by-step explanation:

Function 1 has zero rate of change as the line is horizontalFunction 2 has rate of change 8The difference is 8 - 0 = 8

Convert 48 euros to pounds (£).

Answers

Answer:

41.19 Pounds?

Step-by-step explanation:

161.5 is 85% of what number?

Answers

Answer:

35

Step-by-step explanation:

Answer:

85% of 190 is 161.5

Step-by-step explanation:

That is all.

4a. A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start up fee and monthly charge) to use the
cell phone plan for 1 month? *

Answers

$250 for a month {$200(fee) + $50(monthly charge) =$250}

A unit rate is a rate in which

Answers

Answer:A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

Answer: Sorry i copied him lol

Step-by-step explanation: Have a nice day!

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

24x + 32 − 2.1x = 20.9x + 30 + x + 2

Answers

Answer:

All real numbers are solutions. (Infintie Solutions any number)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

24x+32−2.1x=20.9x+30+x+2

24x+32+−2.1x=20.9x+30+x+2

(24x+−2.1x)+(32)=(20.9x+x)+(30+2)(Combine Like Terms)

21.9x+32=21.9x+32

21.9x+32=21.9x+32

Step 2: Subtract 21.9x from both sides.

21.9x+32−21.9x=21.9x+32−21.9x

32=32

Step 3: Subtract 32 from both sides.

32−32=32−32

0=0

Answer:

All "real"numbers are solutions, infintiely many solutions

to multiply two powers with the same base, the exponents

Answers

Answer:

Are added together

Step-by-step explanation:

Multiplying two powers with the same base is bascially adding the exponents

Hi there! I could really use your help. It is needed :)

Answers

Answer:

330 cm

Step-by-step explanation:

A=2(wl+hl+hw)=2·(0.6·10+15·10+15·0.6)=330

330cm I am trying to help

Which set of data represents the stem-and-leaf plot below? A stem and leaf plot. A vertical line separates each stem from its first leaf. The first row has a stem of 4 and leaves of 1 and 1. The second row has a stem of 5 and leaves of 0, 5, and 7. The third row has a stem of 6 and leaves of 0 and 1. The fourth row has a stem of 7 and a leaf of 8. The fifth row has a stem of 8 and a leaf of 0. Key colon 4 vertical line 1 equals 41. Question 1 options: {88, 10, 41, 50, 57, 60, 66, 54, 41} {78, 80, 14, 50, 57, 43 ,21, 55, 44} {78, 80, 41, 50, 57, 60, 61, 55, 41} 0 of 1 questions saved

Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb the answer is b

ISA
5. Find the surface area of the prism below.
(You do not have to use the formula on this question.)
A. 300 ft2
B. 1160 ft2
C. 370 ft2
D. 98 ft2

Answers

Answer:

B

Step-by-step explanation:

In pretty sure it’s B as well

ill mark brainlist plss help

Answers

Answer:

71%

Step-by-step explanation:

To find a percent from a decimal, you multiply by 100 and add a percent sign. BOOM

the function g is defined by the following rule.
g (x) = 4x + 2
complete the function table.

Answers

-10, -6, 6, 10, 18.

g(-3)=4(-3)+2
g(-2)=4(-2)+2
g(1)=4(1)+2
g(2)=4(2)+2
g(4)=4(4)+2

The complete table is,

 x                  g (x)

- 3                - 10

- 2                 - 6

- 1                  - 2

 2                  10

 4                  18

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The function g is defined as,

⇒ g (x) = 4x + 2

Now, Find all the values as;

 x                  g (x)

- 3               4 × - 3 + 2 = - 10

- 2               4 × - 2 + 2 = - 6

- 1                4 × - 1 + 2 = - 2

 2               4 ×  2 + 2 = 10

 4               4 × 4 + 2 = 18

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

On an Idaho map, 1" represents 20 miles. If the distance on the map between two towns on the river measures 2 5/8" how many miles apart are the towns?

ANSWERS:

A. 42 1/2 miles
B. 45 miles
C. 47 5/8 miles
D. 52 1/2 miles
E. 40 miles

Answers

Answer: D

Step-by-step explanation:

20 x 2= 40

5/8 of 20 is 12.5

40+12.5= 52.5 or 52 1/2

Sorry I’m terrible at explaining

which one of the sets below is a function explain why.
(3,4) (4,5) (5,6) (6,7) (1,6) (1,7) (3,4) (2,8)

Answers

Answer:

functions cant have the same x vaule

im not sure which is a "set" since all the numbers are all under the same line

(3,4) (4,5) (5,6) (6,7)  would be function

(1,6) (1,7) (3,4) (2,8) wouldnt be a function because of the 1

1. If you wanted to make a triangle with side lengths of 3 units, 3 units, and 4
units, how would you know at what angle you should position the sides?

Answers

Answer:

Since 4 is the largest number its the hypotenuse. The two 3s are equal so they are interchangeable so it doesn't matter where you put them. If its a right triangle the hypotenuse is opposite the right angle.

Step-by-step explanation:

HELP ME AND FAST PLS

Answers

Answer:

$1,150.00

Step-by-step explanation:

We calculate using the Equation below

A = P(1 + rt)

P = Principal (Initial Investment) = $1000

Interest rate = 3%

Time = 5 years

A= Amount after time t?

Calculation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:

A = 1000(1 + (0.03 × 5)) = 1150

A = $1,150.00

The amount of is investment is $1,150 after 5 years.

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