Question

Find the 35th term in the arithmetic sequence: -10,-14,-18,-22,..

Answer 1

- 146

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 = - 10 and d = - 14 - (- 10) = - 14 + 10 = - 4, thus

`a_(35)` = - 10 + (34 × - 4) = - 10 - 136 = - 146