What is the sum of the infinite sequence {0.5, 0.05, 0.005, .........}?

Correct answer marked below

\frac{1}{10}

\frac{1}{5}

\frac{5}{9}

Correct

\frac{55}{81}

\frac{10}{5}

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Explanation

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Official Explanation

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To find the sum of the infinite sequence {0.5, 0.05, 0.005, .........}, we denote the sum as

S=0.5+0.05+0.005+.....

. (i) We multiply the equation by 10:…

Comments

KabirJan 12, 2025

thanksss

KamilJun 2, 2024

Thank for sharing!

What this question tests

Your fluency with the order of operations, fractions, decimals, and basic number sense — the foundation every quant question leans on.

Applying the order of operations out of sequence or rounding intermediate values before the final step.