[" (iv) "(6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^(n))],[" LEVEL-2"]

Simplify (6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^(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)

Simplify the following: (5^(n+3)-6x5^(n+1))/(9x5^(x)-2^(2)x5^(n))( ii) (6(8)^(n+1)+16(2)^(3n-2))/(10(2)^(3n+1)-7(8)^(n))

2C_(0)+5C_(1)+8C_(2)++(3n+2)C_(n)=(3n+4)2^(n-1)

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)]

The sum of the series (2)/(3)+(8)/(9)+(26)/(27)+(80)/(81)+ to n terms is n-(1)/(2)(3^(-n)-1)(b)n-(1)/(2)(1-3^(-n))(c)n+(1)/(2)(3^(n)-1)(d)n-(1)/(2)(3^(n)-1)

Sum of n terms of series 12+16+24+40+.... (A) 2(2^(n)-1)+8n (B) 2(2^(n)-1)+6n(C)3(2^(n)-1)+8n(D)4(2^(n)-1)+8n

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to

lim_(nrarroo) [(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+...+(1)/(8n)] is equal to