Let P(n) be the statement that 13+2³+33 + ... + n³ = What do you need to prove in the inductive step? (You must provide an answer before moving to the next part.) Multiple Choice n(n+1) 2 If 13+23+ + k³ = = (k(k+¹)) ²₁ , then 1³ + 2³ + ...+ k³ + (k+ 1)³ = (+¹)(+2)) ³. If 1³ + 2³ + ... + k³ = (k(k+¹) ) ². , then 13+23+...+k³= If 13+23+ + k³ = for the positive integer n. = (k(k+1))²₁ , then 1³ + 2³ +...+ k³ + (k+ 1)³ = (k(k+¹))². If 13+23+ + k³= k+ 1)(x + 2)) ². = (k(k+¹))²₁ , then 1³+2³+...+ k³ + (k+ 1)³= ( (k+ 1)(k+ 2)) ².
Let P(n) be the statement that 13+2³+33 + ... + n³ = What do you need to prove in the inductive step? (You must provide an answer before moving to the next part.) Multiple Choice n(n+1) 2 If 13+23+ + k³ = = (k(k+¹)) ²₁ , then 1³ + 2³ + ...+ k³ + (k+ 1)³ = (+¹)(+2)) ³. If 1³ + 2³ + ... + k³ = (k(k+¹) ) ². , then 13+23+...+k³= If 13+23+ + k³ = for the positive integer n. = (k(k+1))²₁ , then 1³ + 2³ +...+ k³ + (k+ 1)³ = (k(k+¹))². If 13+23+ + k³= k+ 1)(x + 2)) ². = (k(k+¹))²₁ , then 1³+2³+...+ k³ + (k+ 1)³= ( (k+ 1)(k+ 2)) ².
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let P(n) be the statement that 1³ + 2³ +3³ +
What do you need to prove in the inductive step?
(You must provide an answer before moving to the next part.)
Multiple Choice
O
O
If 13 +2³+...+ k³ =
If 1³ +2³+...
+ K³ =
If 1³ +2³+...+ k³ =
If 1³ +2³+... +k³=
k(k+1)
= ²
=
k(k+1)
2
+ n³
2
k(k+1)
k(k+1)
2) ². , then 1³ + 2³ + ... + k³ + (k+ 1)³ =
2
=
n(n+1)
2
then 1³ + 2³ + ...
2
for the positive integer n.
+ k³ =
(k+ 1)(k+2)
k+ 2)) ²
then 1³ + 2³ + ... + k³ + (k+ 1)³ =
(k+ 1)(k+ 2)
2
‚then 1³ + 2³ + ... + k³ + (k+ 1)³ =
k (k+ 1)
2) ².
(k+ 1)(k+2)
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