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The-three-distinct-successive-terms-of-an-A-P-are-the-first-second-and-fourth-terms-of-a-G-P-If-the-sum-to-infinity-of-a-G-P-is-3-5-find-the-first-term-




Question Number 21650 by Glorious Man last updated on 30/Sep/17
The three distinct successive terms of an A.P are  the first,second and fourth terms of a G.P. If the   sum to infinity of a G.P is 3+(√5) , find   the first term.
$${The}\:{three}\:{distinct}\:{successive}\:{terms}\:{of}\:{an}\:{A}.{P}\:{are} \\ $$$${the}\:{first},{second}\:{and}\:{fourth}\:{terms}\:{of}\:{a}\:{G}.{P}.\:{If}\:{the}\: \\ $$$${sum}\:{to}\:{infinity}\:{of}\:{a}\:{G}.{P}\:{is}\:\mathrm{3}+\sqrt{\mathrm{5}}\:,\:{find}\: \\ $$$${the}\:{first}\:{term}. \\ $$$$ \\ $$

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