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The Sum of First Three Terms of a G.P. is 16 and the Sum of the Next Three Terms is 128. Determine the First Term, the Common Ratio and the Sum to N Terms of the G.P. - Mathematics

The sum of first three terms of a G.P. is 16 and the sum of the next three terms is 128. Determine the first term, the common ratio and the sum to n terms of the G.P.

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Solution

Let the G.P. be aarar2ar3, …

According to the given condition,

ar + ar2 = 16 and arar4 + ar= 128

⇒ a (1 + r + r2) = 16 … (1)

ar3(1 + r + r2) = 128 … (2)

Dividing equation (2) by (1), we obtain

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 9 Sequences and Series
Q 14 | Page 192
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