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P(n):a2nb2n is divisible by a+b,  n ϵ N


To prove P(n) using mathematical induction, the base case is


Options:
A .   a2b2=(a+b)(ab) is divisible by a+b
B .   a2kb2k is divisible by a+b
C .   akbk is divisible by a+b
D .   a1b1 is divisible by a+b
Answer: Option A
:
A

P(n):a2nb2n is divisible by a+b,  n ϵ N


Since we need to prove P(n) for all natural numbers, the base case will be n=1.
Substituting n=1, we get
a2b2=(a+b)(ab) is divisible by a+b



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