sum_(k=0)^infinity(sum_(l=0)^infinity-1/2^(k+l)) - Wolfram|Alpha

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Input interpretation

sum_(k=0)^∞ sum_(l=0)^∞-1/2^(k + l)

sum_(k=0)^∞ sum_(l=0)^∞-1/2^(k + l) = -4

Result

Sum convergence

sum_(k=0)^∞ sum_(l=0)^∞-1/2^(k + l) converges

Partial sum formula

sum_(k=0)^n sum_(l=0)^∞-1/2^(k + l) = -2^(1 - n) (2^(n + 1) - 1)

Partial sums

Partial sums

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