Question

Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the formula representing an, the nth term of the sequence.

A) n - 2
B) n + 3
C) 3n - 2
D) 3n + 3

Answer 1

C

Explanation:

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 = 1 and d = 3, thus

`a_(n)` = 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C