Question:medium

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8,16, 32 and 128, 32, 8, 2, \(\frac{1}{2}\).

Updated On: Jan 22, 2026
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Solution and Explanation

Find the sum of the products of the corresponding terms of the sequences
2, 4, 8, 16, 32
and
128, 32, 8, 2, \( \frac{1}{2} \)

Product of corresponding terms:

2 × 128 = 256
4 × 32 = 128
8 × 8 = 64
16 × 2 = 32
32 × \( \frac{1}{2} \) = 16

Sum of the products = 256 + 128 + 64 + 32 + 16

= 496
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