Question

2,5,8,11,14 write down in terms of n , an expression for the nth term for this sequence

Answer 1

`a_(n)` = 3n - 1

Explanation:

Note there is a common difference d between consecutive terms in the sequence, that is

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

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 = 2 and d = 3, thus

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