Prove the following statement is true by using mathematical induction. 2+ 4+ 6+ ... + 2n = n(n + 1)
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![5.
Prove the following statement is true by using mathematical
induction.
2+ 4+ 6+ ...+ 2n = n(n + 1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d548be9-b70c-4345-ad21-fb156d23b920%2Fd6684e4b-aa5b-4040-8b27-1a0441e359e7%2Fqfaxky_processed.jpeg&w=3840&q=75)
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Steps to perform Mathematical Induction:
1) Consider an initial value (say n = 1) for which the statement is true, then show that the statement is true for n = initial value.
2) Assume the statement is true for any value of n = k.
3) Then prove the statement is true for n = k+1. By breaking n = k+1 into two parts, one part is n = k (which is already proved) and try to prove the other part.
The given statement is .
The main objective is to prove that for every , the given statement is true.
This can be proved by mathematical induction.
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