The 6h term and 8th term of a geometric progression are 486 and 4374. Find the value of the 9th term of the progression
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Step-by-step explanation:
given 6th term and 8th term of gp is 486 and 4374
6th term is ar⁵= 486
8th term is ar⁷ = 4374
dividing ar⁷/ar⁵ = 4374/486
r² = 9 => r= 3
6th term ar⁵= 486
a(3)⁵ = 486 => a= 2
9th term is ar⁸ = 2×(3)⁸ = 13122
so 9th term is 13122
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