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Asked Oct 15, 2019
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Prove b and c by induction 

Exercise 3: Prove the following statements. I suggest induction.
-n(n+1)(2n +1)
(a) For all integers n > 0, 12 2 ++n2
(b) For all n > 0, (1 + 2+ . ..+ n)2 = 13 + 23 +.+
n3.
2, n < (2 - n-1)".
(c) For n
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Exercise 3: Prove the following statements. I suggest induction. -n(n+1)(2n +1) (a) For all integers n > 0, 12 2 ++n2 (b) For all n > 0, (1 + 2+ . ..+ n)2 = 13 + 23 +.+ n3. 2, n < (2 - n-1)". (c) For n

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Expert Answer

Step 1

“Since you have asked multiple question, we will solve the first question for you.Please post the another question separately."

Step 2

We shall prove the result (1+2+.....n)^2=1^3+2^3+.......n^3 ,where n is integer>0 ,by using principle of mathematical induction.

Step 3

Step 1) We shall prove the resu...

n 1
(1)
=1
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n 1 (1) =1

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