Question

solve the following sum :
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Answer 1

Answer:

please mark as a BRAINLIST

Step-by-step explanation:

The infinite series whose terms are the natural numbers 1 + 2 + 3 + 4 + ⋯ is a divergent series. The nth partial sum of the series is the triangular number

A graph depicting the series with layered boxes and a parabola that dips just below the y-axis

The first four partial sums of the series 1 + 2 + 3 + 4 + ⋯. The parabola is their smoothed asymptote; its y-intercept is −+

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.[1]

{\displaystyle \sum _{k=1}^{n}k={\frac {n(n+1)}{2}},}\sum_{k=1}^n k = \frac{n(n+1)}{2},

which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum.