Question

Find the 20^th term of the AP √2, 3√2, 5√2, 7√2, ….

Answer 1

To Find: 20^th term of the AP

Given: The series is √2, 3√2, 5√2, 7√2, ….

a₁ =√2, a₂ = 3√2 and d = 3√2–√2 = 2√2

(Where a = a₁ is first term, a₂ is second term, a_n is n^th term and d is common difference of given AP)

Formula Used: a_n = a + (n - 1)d

a₂₀ = a₁ + (20 - 1)( 2√2)= √2 + 38√2 = 39√2

So 20^rd term of AP is equal to 39√2.