1. Prove by induction that b - a | b^n

3. Prove by induction that∑_(r=1)^n▒〖r(r+4)=1/6 n(n+1)(2n+13)〗. 5. It is given that u_1=1 and u...

Use induction to prove the sum of the first n odd numbers, or 1 + 2 + 3 +....+ (2n 1) = n^2

Prove by induction that 9^(n+2)- 4n is divisible by 5 for n greater than or equal to 1. Thanks.

Using induction to prove, 1 + 1/4 + 1/6 + 1/64 + ... + 1/(2^n) = (2^(2n)+1)/2^(2n) Thanks! (s...

Prove by induction : if n < =(2^k) -1 then we can find the number with k guesses

Prove by induction on all positive integer k that if m is any ordinary nfa with k states, and m has...

Prove by mathematical induction that x^2n - y^2n has a factor of x+y. My answer is incomplete sin...

Prove By induction that sinx + sin3x + sin5x +.... Sin(2n-1) =sin^2(nx)/sin3x

prove by induction that 3.7^(2n)+1 is divisible by 4

Prove by induction that 5 to the power n, plus 3 is divisible by 4

Question