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James Chen TMUA Paper 1 · Q17

Paper 1Sequences & series

AnA_n and BnB_n are an arithmetic sequence and a geometric sequence respectively, with first terms A1A_1 and B1B_1. You are given that A2=B3A_2=B_3 and A4=B2A_4=B_2, and that the common ratio of BnB_n is rr. Which is a correct expression for A1A_1?

AB1r(3r−1)2\dfrac{B_1r(3r-1)}2
BB1(3r2−1)2\dfrac{B_1(3r^2-1)}2
CB1(1−3r2)2\dfrac{B_1(1-3r^2)}2
DB1r(1−3r)2\dfrac{B_1r(1-3r)}2
EB1r2(3r−1)2\dfrac{B_1r^2(3r-1)}2
FB1(3r−1)2\dfrac{B_1(3r-1)}2
GB1r2(1−3r)2\dfrac{B_1r^2(1-3r)}2
HB1(1−3r)2\dfrac{B_1(1-3r)}2

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