Question

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

Answer 1

Here, S₁₄ = 1050, n = 14, a = 10.

i.e., 910 = 91d

or, d = 10

Therefore, a₂₀ = 10 + (20 – 1) × 10 = 200, i.e. 20^th term is 200.