Question

The first three terms of a sequence are given. Round to the nearest thousandth (if

necessary).
10, 17, 24, ...
Find the 33rd term.

Answer 1

234

Explanation:

The consecutive terms of the sequence have a common difference d

d = 17 - 10 = 24 - 17 = 7

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 = 10 and d = 7 , thus

`a_(33)` = 10 + (32 × 7) = 10 + 224 = 234