First slide

Series

Question

Find $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots upto \infty$

Moderate

A

1
B

2
C

3
D

4

Solution

$a = 1, r = \frac{1}{2} S_{\infty} = \frac{a}{1 - r} = \frac{1}{1 - \frac{1}{2}} = 2$

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