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If A=[(5, -6),(1,-1)] then the value of ("det"(A^(m)-5A^(m-1)))/("det"(A^(n)-5A^(n-1)))(m, "n" in N) is

If the matrix A={:[(5,-3),(5,-3)]:}," then "A^(n+1) = ________ .

Every number is one of the forms 5n, 5n pm 1, 5n pm 2 .

Let S_(n)=1.5+2.5^(2)+3.5^(3)+...+n.5^(n)=(1)/(16)[(4n-1)5^(a)+b] then

If sqrt(5^(n))=125, then 5^(64n)=25(b)(1)/(125)(c)625(d)(1)/(5)

(5^(n)+5^(n-1))/(5^(n+1)-5^(n))

lim_(n rarr oo)(1 + 5 + 5^2 + ..... + 5^(n-1))/(1-25^n) is