Solve This Sum; IF YOU CAN
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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
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
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