" 6.Fिद्ब कीजिए कि "i^(n+100)+i^(n+50)+i^(n+48)+i^(n+46)=0

simplify : i^(n+100)+i^(n+50)+i^(n+48)+i^(n+46)

simplify :i^(n+100)+i^(n+50)+i^(n+48)+i^(n+46)

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

i^(n) + i^(n+1) + i^(n + 2) + i^(n + 3)

For an positive integer n, prove that : i^(n) + i^(n+1) + i^(n+2) + i^(n+3) + i^(n+4) + i^(n + 5) + i^(n+6) + i^(n+7) = 0 .

If i= sqrt-1 and n is a positive integer , then i^(n) + i^(n + 1) + i^(n + 2) + i^(n + 3) is equal to

(I n (3)) (I n) = (I n (2)) ^ (2)