Posted by Vincent on Wednesday, September 8, 2010 at 4:58am.
5^0+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...
Calculus - Use mathematical induction to prove that the statement holds for all ...
AP Calc - Use mathematical induction to prove that the statement holds for all ...
Math - Use mathematical induction to prove that 2^(3n) - 3^n is divisible by 5 ...
Math - Mathematical Induction - 3. Prove by induction that∑_(r=1)^n&...
math - *if it is in parentheses, it is subscripted. the sequence {a(n)} is ...
Calculus - Prove via Mathematical Induction that (7*n) - 1 is divisible by 6. I ...
Math - Use mathematical induction to prove that 5^(n) - 1 is divisible by four ...
Discrete Math - Use mathematical induction to prove the truth of each of the ...
MATHS - prove by mathematical induction that 7^n+4^n+1 is divisible by 6
For Further Reading