# 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

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