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ParthKohli

  • 3 years ago

\[\begin{aligned}n&:=2 + 4 + 8 + 16 \cdots\\ \iff n&= 2(1 + 2 + 4 + 8 + 16)\cdots \\ \iff n &= 2(n + 1) \\ \iff n & = -1\end{aligned}\]

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  1. nitz
    • 3 years ago
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    the sum is a/r-1 2/2-1 2

  2. nitz
    • 3 years ago
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    its an infinte gp series

  3. rajathsbhat
    • 3 years ago
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    ^yeah. and that's why you cannot subtract 2n and n to get n. It's like saying \[2\infty -\infty = \infty \] you just can't do that.

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