1
-1
w
Let f(x) = (1+x)n = nC0 + nC1 x2 + nC2 x3 ........nCn xn.
If f(1) = S1, f(w) = S2 and f(w2) = S3, find the value of nC0 + nC3 + nC6 + .......... in terms of S1, S2 and
S3.[W is the complex cube root of unity]
S1 : Logarithm of a number x is defined for all negative values of x. S2 : Logarithm of 1 to the base x (where x>1) = 0
The sum of n terms of three A.P.'s whose first term is 1 and
common differences are 1, 2, 3 are S1, S2, S3 respectively. The true
relation is