if the fifth term term of g.p. is 81 and eight term is 2187 then find third term
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if the fifth term term of g.p. is 81 and eight term is 2187 then find third term don't forget for thanks♥
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Answer:
a₅ = ar⁵⁻¹ = ar⁴ = 81
a⁸ = ar⁸⁻¹ = ar⁷ = 2187
now,
ar⁷/ar⁴ = 2187/81 = 27
r³ = 27
r = ∛27
r = 3
So, a(3)⁴= 81
a(81) = 81
a = 81/81
a = 1
So,
a₃ = ar³⁻¹ = ar² = 1 (3)² = 3²
= 9
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