Tuesday

July 22, 2014

July 22, 2014

Posted by **Vincent** on Wednesday, September 8, 2010 at 4:58am.

5^n + 3 is divisible by 4.

- Calculus -
**Damon**, Wednesday, September 8, 2010 at 5:21am5^0+3 = 4

5^1 +3 = 8

5^2+3 = 5*5^1 + 3 = 4*5^1 +5+3 =28

5^3+3 = 5*5^2 + 3 = 4*25 + 5+3 = 128

5^(n+1) + 3 = 5 * 5^n + 3

= 4 *5^n + (5^n+3)

ah ha

4*5^n is divisible by 4 and so is (5^n+3)

**Related Questions**

Pre-cal - use mathematical induction to prove that 1^2 + 2^2 + 3^2 + ... + n^2...

Math - Use mathematical induction to prove that 2^(3n) - 3^n is divisible by 5 ...

Calculus - Use mathematical induction to prove that the statement holds for all ...

Discrete Math - Use mathematical induction to prove the truth of each of the ...

Math - Use mathematical induction to prove that 5^(n) - 1 is divisible by four ...

AP Calc - Use mathematical induction to prove that the statement holds for all ...

Discrete Math - Use mathematical induction to prove the truth of each of the ...

Math - Mathematical Induction - 3. Prove by induction that∑_(r=1)^n▒...

Calculus - Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I ...

Algebra - Prove by mathematical induction that 3^(3n+1) + 2^(n+1) is divisible ...