Series and Proof
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Last updated 11:22 AM on 3/23/23
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4 Terms
1
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∑r from r=1 to n
0\.5n(n+1)
2
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steps in proof by induction
basis, assumption, inductive, conclusion
3
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how to prove by induction summations of a series with terms f(r) up to n
* ∑ up to (k+1) = ∑ up to k + (k+1)th term
* replace ∑ up to k with the given expression
* rearrange to make the given expression with (k+1)
* replace ∑ up to k with the given expression
* rearrange to make the given expression with (k+1)
4
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how to prove by induction divisibility of the expression f(n) by m
f(k+1)= λf(k) + mx