What is the 12th term of the series 2, 5, 8, ….

SOLUTION

We are given an AP

Whose first term, a = 2

Common difference, d = 3

Hence by using the formula for nth term,

A_n = a + (n-1) × d

Where A_n = nth term

a = first term

d = common difference

n = number of terms

⇒ A₁₂ = 2 + (12 – 1) × 3

⇒ A₁₂ = 2 + 11 × 3