Question

Find the 110th term of the sequence –7 3 13 23

Answer 1

a₁₁₀ = 1083

Explanation:

there is a common difference between consecutive terms, that is

3 - (- 7) = 13 - 3 = 23 - 13 = 10

this indicates the sequence is arithmetic with nth term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 7 and d = 10 , then

a₁₁₀ = - 7 + (109 × 10) = - 7 + 1090 = 1083