Question

Write the first three terms of the G.P. whose first term and the common ratio are given below

a = 6, r = 3

Answer 1

a = 6, r = 3

t_n = ar^n-1

t₁ = ar^1-1 = ar⁰ = a = 6

t₂ = ar^2-1 = ar¹ = 6 × 3 = 18

t₃ = ar^3-1 = ar² = 6 × 3² = 54

∴ The 3 terms are 6, 18, 54, ….