Evaluate `1+i^2+i^4+i^6+...+i^(2n)dot`

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This is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER COMPLEX NUMBERS AND QUADRATIC EQUATIONS This Question is also available in R S AGGARWAL book of CLASS 11 You can Find Solution of All Question From RD SHARMA and R S AGGARWAL book from class 6-12 on our app DOUBTNUT for Free

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==== QUESTION TEXT ====

Evaluate `1+i^2+i^4+i^6+...+i^(2n)dot`

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I thought that it is wrong because in this G.P., as we know, r = i^2 which is equal to i^2 = -1 and -1<1, so here we use another formula
Sn = a(

anjalijindal