Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2, .

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Solution

Required sequence =

Hence, 4, 2, 1, is in G.P.
First-term, a = 4, common ratio, r = , and $n$ = 5.
We know that,
∴Required sum =

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Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2, .

Required sequence = Hence, 4, 2, 1, is in G.P.First-term, a = 4, common ratio, r = , and n = 5.We know that, ∴Required sum =

Required sequence =

Hence, 4, 2, 1, is in G.P.
First-term, a = 4, common ratio, r = , and $n$ = 5.
We know that,
∴Required sum =