IF x=n(n+1) find root x + root x+.........infinity in terms of n.
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Let,
Here, both sides are seemed as the product of two consecutive integers. So we can say that n = k - 1 and n + 1 = k.
But being n = k - 1 and n + 1 = k is one possibility, because it can be true that n = - k and n + 1 = 1 - k.
As an example, it is true that 1 × 2 = (-1) × (-2) = 2.
So,
Case 1: Let k = n + 1.
Case 2: Let k = -n.
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