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tmua.me Extreme Set B Paper 1 · Q14

Paper 1Algebra

For r=0,1,…,30r=0,1,\ldots,30, let ara_r be the coefficient of xrx^r in the expansion of (1+x)30(1+x)^{30}.

What is the value of

a0+a3+a6+⋯+a30 ?a_0+a_3+a_6+\cdots+a_{30}\,?
A230−2103\dfrac{2^{30}-2^{10}}3
B230−43\dfrac{2^{30}-4}3
C230−13\dfrac{2^{30}-1}3
D230+23\dfrac{2^{30}+2}3
E230+83\dfrac{2^{30}+8}3
F230+2113\dfrac{2^{30}+2^{11}}3

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