Answers
Answer:
a) The next two terms are: 13, 16
b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Step-by-step explanation:
a) Find the next two terms of sequence: -2,1,4,7 and 10
The common difference d: a₂-a₁ = 1-(-2)= 3
a₃-a₂= 4-1 = 3
a₄-a₃=7-4=3
So, common difference is : 3
Next two terms are: 10+3 = 13
13+3= 16
The next two terms are: 13, 16
b) Find nth term of the sequence
The nth term can be found using formula:
[tex]a_n=a_1+(n-1)d[/tex]
where a₁=First term and d=Common Difference
In the sequence given we have a₁=-2 and d=3
So, the nth term will be:
[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]
So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]
Related Questions
Zoe makes a total of $72.85 selling cookies and cupcakes at a bake sale. If she sells 17 cupcakes for $3.25 each, how many cookies does she sell at $1.60 each? Make sure to explain how you got your answer.
Answers
Answer:
46. or 45.5 if not rounded
Step-by-step explanation:
We know she makes $72.85 at selling cookies if she sales 17 cupcakes for $3.25 she'll make $55.25 but were trying to find how many she sales with $1.60 so $72.85 divided by 1.60 is 45.5 and if not then it's 46. rounded.
Given m||n find the value of x
Answers
Answer:x = 123 corresponding angles
straight angle = 180 ( 180 - 57 ) = 123
Step-by-step explanation:
2x+y=8 and 6x-y=5...which variable should be eliminated and why
Answers
Answer:variable y
Step-by-step explanation:
because it doesn’t have a like variable
PLEASE HELP I'M QUITE SURE WITH THIS QUESTION
Answers
The answer is ( D ), y ≤ 6
The range begins from minimum value to maximum value.
However, in the graph. There's no minimum value as it's heading toward negative infinity.
So we use y ≤ 6 instead.
So the clear answer is y ≤ 6 or ( D )
39 divided by 780 help me
Answers
Answer:
20
Step-by-step explanation:
Answer:
0.05
Step-by-step explanation:
Calc it
Select all equations that have graphs with the same y-intercept.
Group of answer choices
y=3x - 8
y=3x - 9
y=3x + 8
y= 5x-8
y=2x -8
y=1/3x -8
Answers
Safara uses these steps to partition segment AB in a ratio of 9:4. why Safara's method works?
PHOTO ABOVE ⚠️
⚠️HELP I NEED TO PASS⚠️
Answers
Answer: D) the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is 9 - 3 ÷ 1/3 + 1 Please show work
Answers
Answer:
answer
Step-by-step explanation:
9-3 = 6
6 divided by 1/3 is (3x6) = 18
18 + 1 = 19
Answer:
the answer is 19
Step-by-step explanation:
Solve the formula for w.
Answers
Answer:
w = (P-2l) / 2
Step-by-step explanation:
P = 2l + 2w. (Given)
2w = P-2l
w = (P-2l) / 2
PLEASEEEEE I NEED HELP WITH THIS!!
Solve for x.
5
6X 30
7 1
X+ x =
5*= -52
x =
(Type an integer or a simplified fraction.)
Answers
Answer:
x = 60
Step-by-step explanation:
An observation deck extends 200 feet out above a valley. The deck sits 150 feet above the valley floor. If an object is dropped from the observation deck, its height h in feet, after t seconds, is given by h6150. How long will it take for the object to be 6 feet above the valley floor? t will take seconds for the object to be 6 feet above the valley floor (Type an integer or a decimal.)
Answers
add the equation in. this helps because i have the same question:
h=-16t^2+150
Step-by-step explanation:
this is just the equation , when copying and pasting sometimes it doesnt put all the symbols.
What is the solution to n/4 = -12.4?
n = 3.1
n = -3.1
n = 49.6
n = -49.6
Answers
Answer:
n= -49.6
Step-by-step explanation:
49.6 i did this test and got it right
please help with this 17 points
Answers
Answer:
x represents the amount of burgers you order at a restaurant and they each cost $5 y represents your total in cost of $ so if you get 3 burgers for 5 dollars each y= $15
Step-by-step explanation:
Jaime is 48 years younger than Jessica. 8 years ago, Jessica's age was 4 times Jamie's age. How old is Jaime now?
Answers
Answer:
I think 50 i may be wrong though
Step-by-step explanation:
is this correct?! pls answerrr!?!
Answers
Answer:
Yes it is i did this test i believe this is a middle school problem from flvs.
Step-by-step explanation:
Roman solved the equation 5 a + 2 b = 10 for a. His steps are shown below.
1. Subtract 2b: 5 a + 2 b minus 2 b = 10 minus 2 b. 5 a = 10 minus 2 b.
2. Multiply by 5: a = 50 minus 10 b.
Which statement about Roman’s work is true?
I need a quick answer pls!
Answers
Answer:
In step 2, he needed to divide both sides of the equation by 5
Step-by-step explanation:
I'm very positive about this
Hope this helps!!!!!!
Answer:
step 2
Step-by-step explanation:
I need help with this problem on homework
Answers
The side given is 110*, and the side underneath that is 90*. If you add it together, That's 200*. Due to the sum property of a quadrilateral, we know that the angles must add up to 360* in total. So, we can simplify it as following.
(2x) + (x+10) = 360-200
2x + (x+10) = 160
2x + x = 160-10
2x + x = 150
x = 50
which of these situations does not have quantities that combine to make 0.
A. In the morning, the temperature rises 30 degrees. in the evening, it falls by 30 degrees
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
C. A dolphin swims 20 feet straight down from the surface. it then rise 20 feet to reture to the surface
D. A hot air balloon rises 40 feet. it then drops 40 feet to the ground
Hurry please
Answers
Answer:
B. Hikroko earns $20 working concessions at the football game. she earns $20 as as babysitter
Step-by-step explanation:
also the person who keeps deleting all my answers i hope u break your back
am i the only one that's confused? i don't get this and neither does my older sister! please tell me if u get it! :0
Answers
Answer:
I believe the answer is C. I'd have to work this out on paper to be certain, but from what i worked out mentally, i got C. lol
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It explains all ways he can learn for each topic
Gt= Graph and text
Gv= Graph and vid
(same pattern with the rest)
and at the end
T/V= both text and video
pleasssssssssss can you help me
Answers
Answer:
D=(3,-5) S=(-2,1) P=(-5,4) J=(-4,-5) M=(5,4)
Step-by-step explanation:
Answer:
D=3,-5
S=-2,1
P=-5,4
J=-4,-5
M=5,4
Step-by-step explanation:
16
Find the slope of the line that passes through the ordered pairs (3,5) and (35)
look
Answers
Answer:
3,5?
Step-by-step explanation:
A small business borrows $50,000 to get started. Some of the money is borrowed at 9%, some at 7%, and some at 10% simple interest. The total of the annual interest they are charged is $4340, and the amount borrowed at 7% is two times the amount borrowed at 9%. Set up a system of equations to represent the situation, then find the amounts of money (x, y, and z) borrowed at each interest rate.
Answers
Answer: Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
Step-by-step explanation:
Formula for simple interest :
I = PRT,
P= Principal, R =rate , T= time
Let x = amount borrowed at 9%.
y = amount borrowed at 7%.
z = amount borrowed at 10%.
i.e. x+y+z= 50000 (i) [Given : amount invested = 50000]
Interest on x = x (0.09)(1) [as P=x, T=1 year, r= 0.09]
= 0.09x
Similarly
Interest on y = y(0.07)(1) = 0.07y
Interest on z = z(0.1)(1)=0.1z
Total interest = 0.09x+0.07y+0.1z = 4340 (ii)
Also, y=2x [given] (iii)
Put y=2x in (i) and (ii), we get
x+2x+z= 50000 ⇒ 3x+z=50000 (iv)
0.09x+0.07(2x)+0.1z=4340 ⇒ 0.09x+0.14x+0.1z=4340
⇒ 0.23x+0.1z=4340 (v)
Multiply 10 on both sides of (v)
2.3x+z=43400 (vi)
Eliminate (vi) from (v)
0.7x=6600
⇒ x= 9,428.57
From (iii), y= 2(9428.57) =18,857.14
From (vi),
2.3(9428.57)+z=43400
⇒ 21685.71+z=43400
⇒ z= 43400-21685.71
⇒ z=21714.29
Hence, Amount borrowed at 9% = 9,428.57
Amount borrowed at 7% = $18,857.14
Amount borrowed at 10% = $ 21,714.29
at her bakery Sherry has 6 1/2 pounds of cherries to make tarts. if she uses 1/4 pound of cherries for each tart. how many tarts can she make?
Answers
Answer:
Step-by-step explanation:
No of tarts she can make = 6 1/2 ÷ 1/4
= 26 tarts
Can someone explain or help me with these problems
Please and thank you
Answers
Answer:
1st picture (tri) = 16y+8
2nd picture (tri) = 12x-9
3rd picture (sq) = 21x+35
Step-by-step explanation:
Triangle area = (Base x Height) divided by 2
#1.) 16(2y+1) = 32y + 16 (32y+16)/2 = 16y+8
If you need more explination ask me :)
Encik Ahmad builds a rectangular shaped garden
measuring 85 m long and 30 m wide. He divides the
garden into square plots to plant a variety of flowers.
Find the number of square plots that can be built if he
only wants three different square sizes.
Answers
Answer:he should build them 25x10
Step-by-step explanation:
Encik Ahmad can build 10 square plots with three different sizes.
What is Rectangle?Rectangle is a polygon in two dimensional geometry which has four sides and four angles and each angle being right angles.
Length of the rectangular plot = 85 m
Width of the rectangular plot = 30 m
We have to find the number of square plots Encik Ahmad can built of three different sizes.
For that first we take a 45 m length of the plot.
Divide it to three equal lengths. We get three lengths with each 15 m length.
Along the width also, divide into two equal width, each having a width of 15 m.
Each 15 m length, we will get two square plots.
Along 45 m length, we get 3 × 2 = 6 square plots.
The remaining rectangle has length 40 m and width 30 m.
Divide this length as 30 m and 10 m.
So we get a square of dimension 30 m.
Remaining is a rectangle whose remaining length is 10 m and width 30 m.
Along the width, divide into three equal widths, each 10 m.
So there we get three square plots with side length 10 m.
So we have 10 square plots, 6 having the side length 15m, 1 having the side length 30 m and 3 having the side length 10 m.
Hence he get 10 square plots having three different sizes as 15 m, 30 m and 10 m.
To learn more about Rectangles, click :
https://brainly.com/question/29123947
#SPJ2
18 less than half a number is 6
Answers
Answer:
48
Step-by-step explanation:
18 less than half a number is 6.
So this is the formula:
X/2 - 18 = 6.
You can add 18 to 6.
X/2 = 24.
You can now multiply by 2.
X=48
evaluate the following expressions given the following functions: f(x) = 3x-5 and g(x) = -5x +7
Answers
Answer:
the answers and working is in the photo above
Using the SAS Congruence Theorem
Try it
Angles Segmenis Triangles Statements Reasons
Given: UK || LMJKLM
L is the midpoint of JN.
Prove: AJLKALNM
ZLJK
ZNIM
VA
J
K
Statements
Reasons
L
M
N
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Sorry this got to you super late. At least others looking for the answer can find it.
The proof by S A S congruence rule is given below.
Given from fig, JK || LM.
And JK = LM
Since JK is parallel to LM and JN is a transversal so the angle made on the same side of JN are corresponding angles which are equal to each other.
So, angle KJL = angle MLN........equation 1
Also given L is the midpoint of JN so, JL = NL.....equation 2
Now, in triangle JLK and triangle LNM
JK = LM (given)
angle KJL = angle MLN (from 1)
JL = NL (from 2)
So by S A S congruence rule, triangle JLK conguent triangle LNM proved.
For more details on S A S congruence rule follow the link:
https://brainly.com/question/11804042
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A. R = {-17, -9, -1, 17}
B. R = {1, 7, 9, 17}
C. R = {-7, -1, 9, 17}
D. R = {-7, 1, 9, 17}
Answers
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[tex]f( - 4) = 4( - 4) + 9 = - 7[/tex]
_________________________________
[tex]f( - 2) = 4( - 2) + 9 = 1[/tex]
_________________________________
[tex]f(0) = 4(0) + 9 = 9[/tex]
_________________________________
[tex]f(2) = 4(2) + 9 = 17[/tex]
_________________________________
Thus ;
R = { - 7 , 1 , 9 , 17 }
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The correct answer is (( D )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I NEED ALL THE ANSWERS ITS DUE IN 10 MINUTES NUMBER THEM
Answers
Answer:
3.
a. 3.059, 3.05, 3.049, 3.04
b. 182.205, 182.105, 182.05, 182.025
4.
a. 7.68, 7.608, 7.6, 7.068
b. 439.162
Step-by-step explanation: