Question

An arithmetic sequence is shown below.

10, 7, 4, 1, -2, ...

Which function describes the value of the nth term in the sequence?
A. a(n) = – 3n + 10
B. a (n) = -3n + 13
C. a (n) = 10n
D.a (n) = 15n - 6

Answer 1

The answer is in the picture it shows the steps and how you got the answer.
The answer is B.

Answer 2

B. a (n) = -3n + 13

Explanation:

Given arithmetic sequence is: 10, 7, 4, 1, -2, ...

Here a = 10, d = 7 - 10 = - 3

`a_n = a + (n - 1)d \\ \\ a_n = 10+ (n - 1)( - 3) \\ \\ a_n = 10 - 3n + 3 \\ \\ \purple{ \bold{a_n = - 3n +1 3 }}\\ \\`