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In a GP of positive terms any term is equal to the sum of next 2 term the common ratio of Gp  A.cos18  B.sin18 C.2cos18 D.2sin18
Asked by brijk456 | 27 Jul, 2019, 18:27: PM
answered-by-expert Expert Answer
A n y space t e r m space i s space t h e space s u m space o f space n e x t space 2 space t e r m s
rightwards double arrow space t subscript n equals t subscript n plus 1 end subscript plus t subscript n plus 2 end subscript
rightwards double arrow a r to the power of n minus 1 end exponent equals a r to the power of n plus a r to the power of n plus 1 end exponent
rightwards double arrow 1 equals r plus r squared
rightwards double arrow r equals fraction numerator negative 1 plus-or-minus square root of 5 over denominator 2 end fraction
S I n c e space r space s h o u l d space b e space p o s i t i v e
rightwards double arrow r equals fraction numerator square root of 5 minus 1 over denominator 2 end fraction
rightwards double arrow r equals 2 open parentheses fraction numerator square root of 5 minus 1 over denominator 4 end fraction close parentheses
rightwards double arrow r equals 2 space sin 18 degree
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