i^2 + i^4 + i^6 + ......upto (2n + 1) terms = - Vidyadip

MCQ

${i^2} + {i^4} + {i^6} + ......$upto $(2n + 1)$ terms =

A
$i$
B
$ - i$
C
$1$
✓
$ - 1$

✓

Answer

Correct option: D.

$ - 1$

d
(d) Given expression is$ - 1 + 1 - 1 + 1 + .....$upto $(2n + 1)$ terms
Obviously number of terms is odd, so expression has the value $-1$.

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