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Beyond Horizon Set 3 Paper 1 · Q20

Paper 1Algebra

What is the value of this expression (q≠1)(q\ne 1)

(1+q)(1+q2)(1+q4)(1+q8)(1+q16)(1+q32)(1+q64),(1+q)(1+q^2)(1+q^4)(1+q^8)(1+q^{16})(1+q^{32})(1+q^{64}),
A1−q1281−q\frac{1-q^{128}}{1-q}
B1−q641−q\frac{1-q^{64}}{1-q}
C1−q21+2+⋯+61−q\frac{1-q^{2^{1+2+\cdots+6}}}{1-q}
Dnone of the foregoing expressions;
E1−q2641−q\frac{1-q^{2^{64}}}{1-q}
F1−q1281+q\frac{1-q^{128}}{1+q}

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