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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] |
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Answer» 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] |
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