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MioMath 2024 Paper 1 · Q11

Paper 1Sequences & series

Given a geometric sequence Sn={an}S_n=\{a_n\} such that:

a1+a2+⋯=1a_1+a_2+\cdots=1

and

a1−a2+a3−a4+a5−⋯=2a_1-a_2+a_3-a_4+a_5-\cdots=2

find the value of the summation:

a1+a2−a3+a4+a5−a6+a7+a8−⋯a_1+a_2-a_3+a_4+a_5-a_6+a_7+a_8-\cdots
A45\dfrac{4}{5}
B35\dfrac{3}{5}
C57\dfrac{5}{7}
D47\dfrac{4}{7}
E37\dfrac{3}{7}

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