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

Given: the sequences are 2, 4, 8,16, 32 and 128, 32, 8, 2,


The Required answer is: 2 × 128 + 4 × 32 + 8 × 8 + 16 × 2 + 32 ×


64 × [4 + 2 + 1 + + ]


Here the terms are in G.P


Where a = 4, r = and n = 5


The Sum of terms in G.P. is given by:


S = 64 ×


S = 64 ×


S = 64 ×


S = 2 ×


S = = 496


The required answer is 496.


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