Question

What is a14 of the sequence 2,11,20,…?

Answer 1

119

Explanation:

Since the terms have a common difference (d) between consecutive terms then the terms are an arithmetic sequence with n th term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

a₁ = 2 and d = 20 - 11 = 11 - 2 = 9, hence

`a_(14)` = 2 + (13 × 9) = 2 + 117 = 119