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​Find the value of given expression:0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\text{Find the value of given expression:} \\\frac
Question

Find the value of given expression:0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\text{Find the value of given expression:} \\\frac{0.5}{0.5} + \frac{0.5}{(0.5)^2} + \frac{0.375}{(0.5)^3} + \frac{0.25}{(0.5)^4}

A.

0.1

B.

4

C.

10

D.

1

Correct option is C

Given:

The expression:

0.50.5+0.5(0.5)2+0.375(0.5)3+0.25(0.5)4\frac{0.5}{0.5} + \frac{0.5}{(0.5)^2} + \frac{0.375}{(0.5)^3} + \frac{0.25}{(0.5)^4}

Solution:

0.50.5+0.50.25+0.3750.125+0.250.0625\frac{0.5}{0.5} + \frac{0.5}{0.25} + \frac{0.375}{0.125} + \frac{0.25}{0.0625}​​

= 1 + 2 + 3 + 4 = 10

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