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Official 2016 Paper 1 · Q14

Paper 1Sequences & series

The terms of an infinite series S are formed by adding together the corresponding terms in two infinite geometric series, T and U.

The first term of T and the first term of U are each 4.

In order, the first three terms of the combined series S are 8, 3, and 54\dfrac{5}{4}

What is the sum to infinity of S?

A325\dfrac{32}{5}
B203\dfrac{20}{3}
C645\dfrac{64}{5}
D403\dfrac{40}{3}
E16
F32

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