First slide

Geometric progression

Question

If sum of an infinite G.P. p, 1, 1/p, 1/p²,. . . is 9/2, then value of p is

Easy

A

2
B

3/2
C

3
D

9/2

Solution

We have
$\frac{p}{1 - 1 / p} = \frac{9}{2}$
$or 2 p^{2} - 9 p + 9 = 0 or p = 3 / 2, 3$

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