3.Find the value of `n` if ` n/4 -5 = n/6 +1/2`

Find the value of 'n' if (n+4) ! = 56 (n+2) ! .

Find the value of n if: (i) (n+2)! = 12n! (ii) (n+2)! = 60(n-1)! (iii) (n+3)! = 2550 (n+1)! (iv) (n-2)! = 132. (n-4)! .

Find the value of n if: 2n! n! =(n+1)(n-1)(!(2n-1)!

Simplify: find the value of n (n)/(2)-(3n)/(4)+(5n)/(6)=21

Find the value of n in each of the following: (2^2)^n=(2^3)^4 (ii) 2^(5n)-:2^n=2^4 (iii) 2^n^(-5)xx5^n^(-4)=5

If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]|=0,AAx in R, where . n in N , then value of a is a. n b. n-1 c. n+1 d. none of these

If |(x^n ,x^(n+2), x^(2n)),(1, x^a, a), (x^(n+5), x^(a+6), x^(2n+5))|=0,AAx in R ,w h e r en in N , then value of a is n b. n-1 c. n+1 d. none of these

If numbers n- 2, 4n -1 and 5n + 2 are in A.P. find the value of n and its next two terms.

Find the value of n in each of the following: (i) 2^(n-7)xx5^(n-4)=1250 (ii) 5^(n-2)xx3^(2n-3)=135

Find the value of n such that "(i) "^(n)P_(5) =42 xx ""^(n)P_(3), n gt 4 " (ii) "(""^(n)P_(4))/(" "^(n-1)P_(4))=(5)/(3), n gt 4.