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in JEE by kratos

Find the sum to infinity of a decreasing GP with the common ratio x such that |x| < 1; x ≠ 0. The ratio of the fourth term to the second term is 1/16 and the ratio of third term to the square of the second term is 1/9.

1 Answer

+4 votes
by kratos
 
Best answer

Let the series be a, ax, ax2, ax3, … given that |x| < 1 and x ≠ 0. Also,

But, since it is a decreasing GP ⇒ x = 1/4

Also,

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