Q. 60 - Calculus | StudyQuestionHub

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Q. 60

Question

Given a simple proof that if n is a positive integer and c is any real number, then $\sum_{k = 1}^{n} c = c n$

Step-by-Step Solution

Verified

Answer

We proved $\sum_{k = 1}^{n} c = c n$

1Step 1: Given information

We are given a relation $\sum_{k = 1}^{n} c = c n$ . We have to prove it

2Step 2: Proof

We have,

$\sum_{k = 1}^{n} c = c + c + . . . . . . + c (n t i m e s) = c n = R H S$

Hence proved

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