(5times(81)^(n+1)-3^(4n+5))/(3times3^(4n)+(81)^(n))

Simplify (5 (81) ^ (n + 1) -3 ^ (4n + 5)) / (3xx3 ^ (4n) + (81) ^ (n))

(5^(n+3)-6times5^(n+1))/(9times5^(n)-2^(2)times5^(n))

Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^2\ xx\ 5^n) (ii)\ (6(8)^(n+1)+\ 16(2)^(3n-2))/(10(2)^(3n+1)-7\ (8)^n)

Find the value of (1)/(81^(n))-(10)/(81^(n))^(2n)C_(1)+(10^(2))/(81^(n))^(2n)C_(2)-(10^(3))/(81^(n))^(2n)C_(3)+...+(10^(2n))/(81^(n))

The value of (1)/(81^(n))-(10)/(81^(n)).""^(2n)C_(2)-(10^(3))/(81^(n)).""^(2n)C_(3)+…+((10)^(2n))/(81^(n)) is

the value of (1)/((81)^n)-^(2n) C_1. ((10)^2)/((81)^n)+ ^(2n) C_1 ((10)^2)/((81)^n)…....+((10)^2n)/((81)^n) is

(1^(4))/(1.3)+(2^(4))/(3.5)+(3^(4))/(5.7)+......+(n^(4)) /((2n-1)(2n+1))=(n(4n^(2)+6n+5))/(48)+(n)/(16(2n+1))

Find n,if 12times^((n-1))P_3=5times^((n+1))P_3

Lim_(n rarr oo)(3.3^(n+1)+4.5^(n+1))/(5.3^(n)+7.5^(n))=