If in a G.P., a3 + a5 = 90 and if r = 2, find first term of the G.P. – InterviewSolution

1.

If in a G.P., a3 + a5 = 90 and if r = 2, find first term of the G.P.

Answer»

Let a be the first term of the GP

Given,

r = 2 and

a₃ + a₅ = 90

⟹ ar² + ar⁴ = 90

⟹ a(2)² + a(2)⁴ = 90

⟹ 4a + 16a = 90

⟹ 20a = 90

⟹ ^{\(a \frac{9}{2}\)}

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