Unattributed TMUA Mock Set B Paper 1 · Question 4

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Unattributed TMUA Mock Set B Paper 1 · Q4

Paper 1Sequences & series

$R$ is the sum to infinity of the geometric progression $1,\sqrt{0.3},0.3,0.3\sqrt{0.3},\ldots$ . $S$ is the sum to infinity of the geometric progression $1,-\sqrt{0.3},0.3,-0.3\sqrt{0.3},\ldots$ . What is the value of $R-S$ ?

-\frac{20}{7}

-\frac{2\sqrt{30}}7

-\frac{2\sqrt3}7

\frac{2\sqrt3}7

\frac{2\sqrt{30}}7

\frac{20}{7}

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