" If "(2n+5)=3(3n-10)

If 2(2n+5)=3\ (3n-10), then n= (a)5 (b) 3 (c)7 (d) 8

If 2(2n+5)=3(3n-10), then n=5 (b) 37(d)8

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

Prove that ((2n)!) / (n!) = 2^n(2n - 1) (2n - 3) ... 5.3.1.

Find n if 5=(3n-5)/(4n+2)

Simplify : frac(5^n xx 25^(2n-2))(5^(3n-2) xx 10^-1)

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 (m+n)-:(m-n) , if : (i) m=(2)/(3) "and" n=(3)/(2) (ii) m=(3)/(4) "and" n=(4)/(3) (iii) m=(4)/(5) "and" n=-(3)/(10)

Find the value of 1/(81^n)-(10)/(81^n)C_1+(10^2)/(81^n)C_2-(10^3)/(81^n)C_3++(10^(2n))/(81^n) .

Find underset(n to oo)lim x_(n) if (a) x_(n)=(3n^(2)+5n+4)/(2+n^(2) (b) x_(n)=(5n^(3)+2n^(2)-3n+7)/(4n^(3)-2n+11) (c) x_(n)=(4n^(2)-4n+3)/(2n^(3)+3n+4) (d) x_(n)=(1^(2)+2^(2)+.....+n^(2))/(5n^(3)+n+1)