Question

the first terms of a G.P is 1.the sum of 3rd and 5th term is 90. find the common ratio of the G.P.

Answer 1

First term = a = 1

According to question

a₃ + a₅ = 90

aₓ = a*rˣ⁻¹

ar² + ar⁴ = 90

r⁴ + r² = 90

(r² + 10)(r² - 9) = 0

r≠√-10               but       r = 3

Hence common difference is 3

Hope It Helps ^_^

MARK IT AS BRAINLIEST