Question

Write the algorithm to find the sum of series ; 1+2+3+4+..... Upto n terms

Answer 1

The algorithm to find the sum of the series;
1+2+3+4+....+Upto n terms is as follows :-

n(n+1)
————
2

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Answer 2

Answer:

$\frac{n(n+1)}{2}$

Step-by-step explanation:

Given series,

1 + 2 + 3 + 4 + 5........ up to n terms,

Which is an AP,

Having first term, a = 1,

Common difference, d = 1,

Since, sum of an AP,

$S_{n}=\frac{n}{2}(2a+(n-1)d)$

$=\frac{n}{2}(2+(n-1))=\frac{n(n+1)}{2}$

Which is the required expression.