Question

7,2,-3,-8,-13,-18
find the 97 term​

Answer 1

- 473

Explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with n th term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = - 5, thus

`a_(97)` = 7 + (96 × - 5) = 7 - 480 = - 473