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Fittoniya [83]
3 years ago
11

he sum of the first two terms of a G.P is 27 whereas the sum of the second and third term is 54. Find the first term and the com

mon ratio.​
Mathematics
1 answer:
viktelen [127]3 years ago
7 0

Answer:

{ \tt{sum =  \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 =  \frac{a(r {}^{2 - 1} )}{2 - 1}  \\ { \bf{27 = ar -  -  - (i)}} \\  \\ 54 =  \frac{a( {r}^{3 - 1} )}{3 - 1}  \\ { \bf{108 = a {r}^{2} -  -  - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r =  \frac{108}{27}  \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term =  \frac{27}{4}  }}

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