TMUA 2021 Paper 1 Q3 — Worked Solution

P1·Sequences & Series·5.5Official · 2021 · Q3

arithmetic-progressiongeometric-progressionsum-to-infinity

An arithmetic progression and a convergent geometric progression each have first term

\frac{1}{2}

. The sum of the second terms of the two progressions is

\frac{1}{2}

. The sum of the third terms of the two progressions is

\frac{1}{8}

.What is the sum to infinity of the geometric progression?

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