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.


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Question Number 21650 by Glorious Man last updated on 30/Sep/17

$T h e t h r e e d i s t i n c t s u c c e s s i v e t e r m s o f a n A . P a r e$ $t h e f i r s t, s e c o n d a n d f o u r t h t e r m s o f a G . P . I f t h e$ $s u m t o i n f i n i t y o f a G . P i s 3 + \sqrt{5}, f i n d$ $t h e f i r s t t e r m .$
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