Question

What is the 100th term of the linear sequence below? 9, -5, -1,3,7,...​

Answer 1

`a_(100) = 387`

Explanation:

I think the first term is -9.

Then each term is 4 more than the previous term.

The constant difference is 4. d = 4.

`a_n = a_(n - 1) + 4`

`a_1 = -9`

For n ≥ 2,

`a_n = -9 + (n - 1)d`

`a_(100) = -9 + (100 - 1)(4)`

`a_(100) = 387`