Question

if the second term of aGO is 2and sum of its infinite terms is 8, then the GP is

Answer 1

HELLO DEAR,




let first term be a,


common ratio be r,




GIVEN:-


${S_2 = 2}$



ar = 2-------------( 1 )



AND,



${S_\infty = 8}$



a(1 - r) = 8



a = 8 - 8r



2/r = 8 - 8r




(2 + 8r²) = 8r



4r² - 4r + 1 = 0



4r² - 2r - 2r + 1 = 0



2r(2r - 1) - (2r - 1) = 0



(2r - 1)(2r - 1) = 0



r = 1/2 , r = 1/2 [ put in ----( 1 )]



a*1/2 = 2



a = 4





I HOPE ITS HELP YOU DEAR,


THANKS