The value of the determinant `|(5^(2),5^(3),5^(4)),(5^(3),5^(4),5^(5)),(5^(4),5^(6),5^(7))|` is -

Prove that the value of the determinant |{:(-7,,5+3i,,(2)/(3)-4i),(5-3i ,,8,,4+5i),((2)/(3) +4i,,4-5i,,9):}|" is real "

Find the value of the (5^(4)xx7^(5))/(5^(2)xx7^(4))

The value of the determinant |{:(""^5C_0,""^5C_3,14),(""^5C_1,""^5C_4,1),(""^5C_2,""^5C_5,1):}| is

The value of |[5^2 ,5^3, 5^4], [5^3, 5^4, 5^5], [5^4, 5^5, 5^6]| is (a) 5^2 (b) 0 (c) 5^(13) (d) 5^9

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(2))+ (4^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

Find the sum of 7 terms of the sequence (1/5+2/(5^2)+3/(5^3)),\ (1/(5^4)+2/(5^5)+3/(5^6)),\ (1/(5^7)+2/(5^8)+3/(5^9)),\ ,

-((4)/(5)+(4^(2))/(5^(2).2)+(4^(3))/(5^(3).3)+(4^(4))/(5^(4).4)+……oo)=

Evaluate : a. 6^(3)-:6^(3) b. 5^(4)-:5^(4) c. (-3)^(5)-:(-3)^(5) d. ((3)/(5))^(4)-:((3)/(5))^(4)

Find: 2(3)/(4)+5(5)/(6)

(2)/(3!)+(4)/(5!)+(6)/(7!)+ ..is equal to