Show that the products of the corresponding ...

NCERT Class XI Mathematics - Sequences and Series - Solutions

Question : 54 of 106

Marks: +1, -0

Show that the products of the corresponding terms of the sequences a, ar,

ar^2

, .....

ar^{n–1}

and A, AR,

AR^2

, ..... ,

AR^{n–1}

form a G.P., and find the common ratio.

Solution:

On multiplying the corresponding terms, we get

aA, aArR,

aAr^2R^2

,.....,

aAr^{n – 1}R^{n – 1}

. We can see that this new sequence is G.P. with first term aA & the common ratio rR.

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