Question

Find the decimal form of the sum below,

1/2 +1/2² + 1/2³​

Answer 1

ANSWER

$1/2 + 1/2^{2} + 1/2^{3} \\=1/2 + 1/4 + 1/8\\=0.5 + 0.25 + 0.125\\=0.875$

Answer 2

Given : 1/2 +1/2² + 1/2³​

To Find : Decimal form

Solution:

1/2 +1/2² + 1/2³​

= ( 2² + 2¹  + 1)/2³

= (4 + 2 + 1)/2³

= 7/2³

Multiplying and  dividing by 5³

= 7 * 5³  / (2³ * 5³)

= 7 * 125/ (10³)

= 875 / 1000

= 0.875

decimal form of the sum is 0.875

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