2,\r\n3, 4, 5 અંકો વડે રચી શકાય તેવી તમામ સંખ્યાઓનો સરવાળો શોધો...

The following are the steps in finding the matrix B, if B + ({:(2, 3), (4, 5):}) = ({:(5, 4), (3, 2):}) . Arrange them in sequential order. (A) therefore ({:(p, q), (r, s):}) + ({:(2, 3), (4, 5):}) = ({:(5, 4), (3, 2):}) (B) Let B = ({:(p, q), (r, s):}) (C) ({:(p+2, q+3), (r+4, s+5):}) = ({:(5, 4), (3, 2):}) (D) P + 2 = 5, q + 3 = 4, r+ 4 = 3, s + 5 = 2 rArr p = 3, q = 1, r = -1, s = -3 (E) therefore B = ({:(3, 1), (-1, -3):})

If Delta_r=|[2^(r-1)2 , 3^(r-1) , 4. 5^(r-1)] , [x , y , z] , [2^n-1 , 3^n-1 , 5^n-1]|dot Show that sum_(r=1)^n Delta_r=Con s t a n t

Evaluate: lim_ (n rarr oo) (1 ^ (4) + 2 ^ (4) + 3 ^ (4) + ... + n ^ (4)) / (n ^ (5)) - lim_ (n rarr oo) (1 ^ (3) + 2 ^ (3) + ... + n ^ (3)) / (n ^ (5))

Evaluate: lim_ (n rarr oo) (1 ^ (4) + 2 ^ (4) + 3 ^ (4) + ... + n ^ (4)) / (n ^ (5)) - lim_ (n rarr oo) (1 ^ (3) + 2 ^ (3) + ... + n ^ (3)) / (n ^ (5))

If m:n = 3:5 and m:r = 2:3, then find n:r.

If the ratio between ages of P a n d Q is 2:3 and that between the ages of Q a n d R is 4:5, then the ratio between the ages of P a n d R is 3:4 b. 3:5 c. 5:6 d. 8: 15

If R is the relation less than ^(n) from A={1,2,3,4,5} to B={1,4,5}, write down the set of ordered pairs corresponding to R. Find the inverse of R.