Let’s assume we are adding 2 + 2^2 + 2^3 +……..+2^n = now here , according to the sum of an infinite gp formula, which is given by : a/1-r, the answer to the summation will be negative two (-2) , just how is that possible ? we are not using any negative number, neither any subtraction and only natural numbers 1 through infinity, how do we get a negative number and that too just something as small as -2 . I know you can prove it mathematically but how do i really grasp it when all my natural instincts are telling me otherwise?
In: Mathematics
A core requirement of this formula is that |r| must be < 1. In this case, it is 2, and the “otherwise” clause of this formula states that the series _diverges_ to ±∞.
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