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Evaluate :- 1+i2+i4+i6+.................+i2n

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Evaluate :- 1+i²+i⁴+i⁶+.................+i²ⁿ

Posted by Shriom Yadav 6 years, 8 months ago

CBSE > Class 11 > Mathematics

3 answers

Sunil C N 6 years, 8 months ago

if n is even answer is zero

if n is odd answer is one

0Thank You

Sudha Malamal 6 years, 8 months ago

if n is odd the answer will be zero

if n is even all cancel and answer is 1

1Thank You

Sahdev Sharma 6 years, 8 months ago

We know i²= -1

And {tex}i^4=(i^2)^2=(-1)^2= 1{/tex}

So all the terms having i will be cancelled out. We ll get answer as 1

1Thank You

ANSWER

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CBSE > Class 11 > Mathematics