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" (1) "i^(2)+i^(4)+i^(6)+m+(2n+1)" terms...

" (1) "i^(2)+i^(4)+i^(6)+m+(2n+1)" terms "

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i^(2)+i^(4)+i^(6)+ldots . .(2 n+1) terms =

1 + i^(2n) + i^(4n) + i^(6n)

Simplifiy i^(2)+i^(4)+i^(6)+.....+(2n+1) terms

The value of i^(2)+i^(4)+i^(6)+i^(8)... upto (2n+1) terms,where i^(2)=-1, is equal to:

i^(2)+i^(4)+i^(6)+"…………up to "(2k+1) terms, k in N is

i^(2)+ i^(4) +i^(6) +……" upto " (2k + 1) terms , k in N is :

1+i^(2)+i^(4)+i^(6)+... .+i^(2 n)=