show that 9n-1-8n-9 is divisible by sixty four where n is a positive integer
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Your questions is wrong right question is 3^(2n+2) - 8n-9
Solution is 9×(1+8)^n -8n-9=
9{1+c(n,1)×8+ c(n,2)8^2+c(n,1) 8^3+..... C(n,n)8^n} -8n-9=
{9+9×8n+9×C(n,2)×64+9×8^n-8n-9}=
64[n+9{c(n,n)+............8^(n-1)}]
Hencw it is divisible by 64
Solution is 9×(1+8)^n -8n-9=
9{1+c(n,1)×8+ c(n,2)8^2+c(n,1) 8^3+..... C(n,n)8^n} -8n-9=
{9+9×8n+9×C(n,2)×64+9×8^n-8n-9}=
64[n+9{c(n,n)+............8^(n-1)}]
Hencw it is divisible by 64
RivenDost:
agree with you
Thanks
my pleasure
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