1 Answer: diverges n In n n=2

Q: ate the sum >3 - k – k? k=2

A: See the detailed solution below.

Q: 1(1!) + 2(2!) + ..+ n(n!) = (n + 1)! – 1. %3D 3.

A: (3) The given expression in the LHS can be written in the form of series as, ∑n=1nnn! Now solve the…

Q: Q3. By using mathematical induction, show that 52n – 1 is divisible by 24, for all positive |…

A: We need to show that 52n-1 is divisible by 24. We can solve this using induction method.

Q: Use mathematical induction to show that 3 divides n3 + 2n whenever n is a nonnegative integer.

A:

Q: find the nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.