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OxbridgeMind TMUA Paper 2 · Q2

Paper 2Sequences & 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 T and U are each 2.

In orders, first three terms of the continued series are 44, 32\dfrac32, 58\dfrac58.

What is the sum to infinity of S?

A12\frac12
B22
C83\frac83
D44
E203\frac{20}3

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