Math, asked by Avanish010, 1 year ago

Solve This Sum; IF YOU CAN

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Answered by dhonisuresh0703
2
let a be the first term of g.p and r be the common ratio of the g.p
we know that nth term of g.p=ar^n-1
                                            b=ar^n-1
                                            p=a1*a2*a3...............an
                                              =a*ar*ar^2................ar^n-1
                                              =(a x a x a......a) x (r,r^2.........r^n-1)
                                              =a^n  r^(1+2+3......+(n-1))

                                           p =a^n r^[n(n-1)/2]
                                      lhs  =p^2=[a^n r(n(n-1)/2]^2
                                              p^2=a^2n r^(n(n-1))
                                                   =[a x a r^n-1]^n
                                                   =[a ( a r^n-1)]^n
                                                   =(ab)^n
hence proved 
as u said u hav to mark my answer as brainliest.
please feel free to ask doubts to me

                                                   

dhonisuresh0703: plz mark my answer as brainliest
dhonisuresh0703: plz mark my answer as brainliest.
Anonymous: one answer cannot be marked as brainliest
Anonymous: two answers r needed
dhonisuresh0703: thanks for marking my answer as brainliest
Answered by ladherujju
1

Answer:

hey!!! how are you ? ...........

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