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The First Term of a G.P. is 1. the Sum of the Third Term and Fifth Term is 90. Find the Common Ratio of Geometric Progression - Mathematics

The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the common ratio of G.P.

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Solution

Let a and r be the first term and the common ratio of the G.P. respectively.

∴ a = 1

a3 = ar2 = r2

a5 = ar4 = r4

∴ r2 + r4 = 90

⇒ r4 + r2 – 90 = 0

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 9 Sequences and Series
Q 9 | Page 199
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