C-13-Q121mediumsingle_mcq

The sum of $(2n + 1)$ terms of $1 - 1 + 1 - 1 + \cdots$ is —

a $0$
b $1$
c $-1$
d $2$

ব্যাখ্যা

This is an alternating series of $+1$ and $-1$ ; an odd number $(2n+1)$ of terms means the pairs $(1-1)$ cancel completely, leaving one extra $+1$ at the end. Hence the sum is $1$ .

এই অধ্যায়ের আরও প্রশ্ন

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Finite Series — সব প্রশ্ন দেখুন (160টি) →

The sum of (2n+1)(2n + 1)(2n+1) terms of 1−1+1−1+⋯1 - 1 + 1 - 1 + \cdots1−1+1−1+⋯ is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The sum of (2n+1)(2n + 1)(2n+1) terms of 1−1+1−1+⋯1 - 1 + 1 - 1 + \cdots1−1+1−1+⋯ is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The sum of $(2n + 1)$ terms of $1 - 1 + 1 - 1 + \cdots$ is —

The sum of $(2n + 1)$ terms of $1 - 1 + 1 - 1 + \cdots$ is —