Question

Which of the following summation from 1 to infinity represents the series -5+-10+-15+-20+....?
A. £-5
B. £-5n
C. £(-5)^n

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following summation from 1 to infinity represents the series -5+-10+-15+-20+....?

A. £-5

B. £-5n

C. £(-5)^n

EVALUATION

Here the given series is

-5 + -10 + -15 + - 20+....

= - 5 ( 1 + 2 + 3 + 4 +.... )

$\displaystyle = - 5\sum\limits_{n=1}^{ \infty } \: n$

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