Discussion Forum

1)

Find the value of the following expression upto four places of decimals.

$\left[1+\frac{1}{1 \times 2}+\frac{1}{1 \times 2 \times 4}+\frac{1}{1 \times 2 \times 4 \times 8} + \frac{1}{1 \times 2 \times 4 \times 8 \times 16}\right]$

Answer:

Option C

Explanation:

Given expession = $\frac{2\times4\times8\times16+4\times8\times16+8\times16+16+1}{2}$

$=\frac{1024+512+128+16+1}{1024}=\frac{1681}{1024}=1.6416$