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NCERT Class XI Mathematics - Sequences and Series - Solutions

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Question : 54
Total: 106
Show that the products of the corresponding terms of the sequences a, ar, ar2, ..... arn–1 and A, AR, AR2, ..... , ARn–1 form a G.P., and find the common ratio.
Solution:  
On multiplying the corresponding terms, we get
aA, aArR, aAr2R2,....., aArn–1Rn–1. We can see that this new sequence is G.P. with first term aA & the common ratio rR.
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