If the infinite sum 12^1+ 12^2+ 12^3+ 12^4+...=1, what is the value of the infinite sum 12^1+ 22^2+ 32^3+ 42^4+....?

If the infinite sum 12^1+ 12^2+ 12^3+ 12^4+...=1, what is...

Free Practice Question

PS · Problem Solving

705-805

Sequences

If the infinite sum

\frac{1}{2^1}+\frac{1}{2^2}+\frac{1}{2^3}+\frac{1}{2^4}+...=1

, what is the value of the infinite sum

\frac{1}{2^1}+\frac{2}{2^2}+\frac{3}{2^3}+\frac{4}{2^4}+....

?

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Explanation

Create a free account to reveal the correct answer, see the step-by-step explanation, and start tracking your GMAT progress.

Comments

Sign in to join the discussion

Be the first to share your thoughts and help others understand it better.