Calculate the sum of ( 13+ 19+ 127+ 181+ 1243+ 1729).

Calculate the sum of ( 13+ 19+ 127+ 181+ 1243… | GMAT Sprint

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PS · Problem Solving

sub-505

Arithmetic

Calculate the sum of $(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729})$ .

Answer Choices

Correct answer marked below

(\frac{344}{729})

(\frac{354}{729})

(\frac{355}{729})

(\frac{353}{729})

(\frac{364}{729})

Correct

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Explanation

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Official Explanation

Official

To find the value of

(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729})

, we can express each term with a common denominator of 729. The fractions…

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Comments

JatishMar 26, 2025

thank you for sharing

ArpanJun 27, 2024

Thank for sharing!!!

IhazSep 8, 2024

Can you explain more?

PrayagMay 22

Common denominator 729 and you're done. Easy one, nice warmup.

DhruvilMay 27

yep, that's the fastest way. common denom then just add the tops.

ShakibSep 29

the answer choices all have 729 in the denominator so that basically tells you what to do lol

What this question tests

What it tests

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

Common trap

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

Calculate the sum of (13+19+127+181+1243+1729)(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729})(31​+91​+271​+811​+2431​+7291​).