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Viluxent Set 1 Paper 2 · Q15

Paper 2Algebra

In the expansion of (1+x+x4)50(1+x+x^4)^{50} as a polynomial in xx, find the sum of the coefficients of the odd-power terms (i.e. the terms x1,x3,x5,…x^1,x^3,x^5,\ldots).

A3502\frac{3^{50}}2
B350−12\frac{3^{50}-1}2
C350+12\frac{3^{50}+1}2
D3493^{49}
E349−12\frac{3^{49}-1}2
F350−13^{50}-1

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