Sequence And Series,is It?

Calculus Level 4

If The Value Of

n=0(13n+113n+2)\displaystyle \sum^{\infty}_{n=0}(\dfrac{1}{3n+1}-\dfrac{1}{3n+2}) = γ\gamma

Then Find 104γ\lfloor10^4 \gamma\rfloor.

Details\textbf{Details}

\lfloor \bullet\rfloor Is the Greatest Integer Function

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