Suppose we wanted to use mathematical induction to prove that for each natural number n Σ(3n-2) Select one: O a. In our induction step, what would we assume to be true and what would we prove to be true. Assume: 1 Prove: n(3n - 1) 2 1+4+7+...+(3k - 2) k+1 Σ (3³n-2): - k(3k-1) 2 (k + 1)(3k + 2)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose we wanted to use mathematical induction to prove that for each natural number
n
(3n-2)
j=1
In our induction step, what would we assume to be true and what would we prove to be true.
Select one:
O a.
Assume:
Prove:
n(3n - 1)
2
k (3k-1)
1+4+7++ (3k − 2) = 2
k+1
Σ
(3n − 2)
=
(k + 1)(3k + 2)
2
Transcribed Image Text:Suppose we wanted to use mathematical induction to prove that for each natural number n (3n-2) j=1 In our induction step, what would we assume to be true and what would we prove to be true. Select one: O a. Assume: Prove: n(3n - 1) 2 k (3k-1) 1+4+7++ (3k − 2) = 2 k+1 Σ (3n − 2) = (k + 1)(3k + 2) 2
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