222k views
2 votes
The nth term of the sequence 3, 10, 17, 24, ... is an + b, where a and b are constants.

Write down the values of a and b.

pls help​

1 Answer

5 votes

We are given:

The nth term of the sequence 3, 10, 17, 24, ... is an + b

To determine the values of a and b, let's examine the terms we have:

n = 1: 3 = a(1) + b

n = 2: 10 = a(2) + b

Subtracting the first equation from the second:

10 - 3 = 7 = a(2-1) = a

So a = 7

Plugging this back into the first equation:

3 = 7(1) + b

3 = 7 + b

b = -4

Therefore, the values of a and b are:

a = 7

b = -4

So the nth term of the sequence is:

an + b = 7n - 4

User Wei WANG
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories