Question

Find the 67th term of the arithmetic sequence –17, -23, -29,...

Answer 1

- 413

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 17 and d = - 23 - (- 17) = - 23 + 17 = - 6

`a_(67)` = - 17 + (66 × - 6)

= - 17 - 396

= - 413