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Grade: 9
        

ther is an infinite series with geometric progression,  1st term is the sum of 2nd and 3rd terms,  then find the common ratio....

8 years ago

Answers : (1)

vikas askiitian expert
509 Points
							

let geometric series is , a , ar  , ar2 , ar2 ................ infinity

first term is sum of 2nd & third term

a = ar + ar2

r2+r-1 = 0  or        ................1

ax2+bx+c           ............2

this is quadratic equation & its solution is given by dharacharya rule

x = [-b+(-)(b2-4ac)1/2]/2a

a = 1 , b = 1 , c=-1                (on comparing both equations)

x = (root5 - 1)/2     or  -(root5 + 1)/2

8 years ago
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