Question

Find the value of the given expression 2+1/2²+1/2+2²+1/2²-2

Answer 1

$5$

Step-by-step explanation:

$Given, \: \: \: 2 + \frac{1}{ {2}^{2} } + \frac{1}{2} + {2}^{2} + \frac{1}{ {2}^{2} } - 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 + \frac{1}{4} + \frac{1}{2} + 4 + \frac{1}{4} - 2 \\ = 2 \times \frac{1}{4} + \frac{1}{2} + 4 \\ = \frac{1}{2} + \frac{1}{2} + 4 \\ = 2 \times \frac{1}{2} + 4 \\ = 1 + 4 \\ =\boxed{5}$