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NCERT Class XI Mathematics - Sequences and Series - Solutions

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Question : 53
Total: 106
Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32, 8, 2,
1
2
Solution:  
On multiplying the corresponding terms of sequences, we get 256, 128, 64, 32 and 16, which forms a G.P. of 5 terms
∴ Sum = 256
[1−(
1
2
)5]
1−
1
2
 =
256×31
16
 = 496
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