1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergejj [24]
3 years ago
12

the third term of an arithmetic sequence is 24 and the fifth is 32 if the first term is a1. which is an equation nth term of the

sequence
Mathematics
2 answers:
const2013 [10]3 years ago
8 0
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
Fudgin [204]3 years ago
6 0

Answer:

The nth term of the sequence is a_n=4n+12

Step-by-step explanation:

Given: a_3=24,\ \ a_5=32

First term: a_1

Formula:

a_n=a_1+(n-1)d

where, d is common difference

a_3=24

a_1+2d=24

a_1+4d=32

Subtract both equation

2d=32-24

2d=8

d=4

Put d=4 into a_1+2d=24

a_1+2(4)=24

a_1=16

Now, we will find nth term of the sequence.

a_n=16+(n-1)4

a_n=16+4n-4

a_n=4n+12

Hence, The nth term of the sequence is a_n=4n+12

You might be interested in
Story problem to represent 3Divided by 1/2
Masja [62]
There were 3 pieces of pie and two kids wanted them. You gave each give one full piece of pie and then cut the last piece in half. After this, each kid had 1 1/2 pieces of pie. 
3 0
3 years ago
What shape would you get if you cut off one of the corners of a rectangular prism
Svetlanka [38]

Answer:

A Pyramid

Step-by-step explanation:

3 0
3 years ago
Distance between A(2,7) and B(6,4)
r-ruslan [8.4K]

Answer:

Approx: 2.65units

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the value of 8 to the 4th power
Alex73 [517]

Answer:

8 x 8 x 8 x 8 = 4096

Step-by-step explanation:

Its an exponent which means you multiply 8 by itself 4 times to get 4096.

5 0
3 years ago
Helpppp ahhhhhhh plz
kaheart [24]

Answer:

It's Parallel

Step-by-step explanation:

Perpendicular have to intersect  

3 0
3 years ago
Other questions:
  • Mattis saving to buy a new motorcycle. If he deposits $50 at the end of each month in an account that pays an annual interest ra
    9·1 answer
  • Find the Axis of Symmetry of the following Quadratic, Show all work<br><br> y = x ^2 + 8x + 12
    10·1 answer
  • Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay?
    5·2 answers
  • Twice a number increased by 6
    15·2 answers
  • X+4y=2v make x the subject
    14·1 answer
  • What must be true for P (A and B) = P (A) * P (B)?
    13·2 answers
  • 8 people want to share a large pizza.Use a ratio to express how many pieces each person gets if the pizza is divided equally
    9·1 answer
  • A pie costs $12.55. If it has a diameter of 12 inches what is the cost per square inch of the pie.
    6·1 answer
  • QUESTION TWO PLEASE HELP ASAP
    7·1 answer
  • Identify the use of charts, graphs, and data in everyday applications.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!