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you're done (as modeled in class videos); you do not need to actually do the complete proof. 1. Prove that 13 +2³+3³ +...+n³: (n(n + ¹)) ² 2 = for n € Z+

you're done (as modeled in class videos); you do not need to actually do the complete proof. 1. Prove that 13 +2³+3³ +...+n³: (n(n + ¹)) ² 2 = for n € Z+

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 79E: Dance Committee A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5...
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Learning Target R4 Core: Given a statement to be proven by (weak) induction, I can state and prove the base case, state the inductive hypothesis, and outline the proof. I can describe the subtle difference between weak and strong induction. For each statement below, complete each of the following parts: . State and prove the base case • State the inductive hypothesis Outline how the rest of the proff would go, that is, tell me roughly what will happen to complete the proof, identifying how this section of the proof will begin and ultimately what it will look like when you're done (as modeled in class videos); you do not need to actually do the complete proof. ● 1. Prove that 13 +23 +33 + ... + n³ (n(n+1)) ² = 2 2. Prove that any postage greater than or equal to 23 can be made using only 5-cent and 7-cent stamps. for ne Z+
Transcribed Image Text:Learning Target R4 Core: Given a statement to be proven by (weak) induction, I can state and prove the base case, state the inductive hypothesis, and outline the proof. I can describe the subtle difference between weak and strong induction. For each statement below, complete each of the following parts: . State and prove the base case • State the inductive hypothesis Outline how the rest of the proff would go, that is, tell me roughly what will happen to complete the proof, identifying how this section of the proof will begin and ultimately what it will look like when you're done (as modeled in class videos); you do not need to actually do the complete proof. ● 1. Prove that 13 +23 +33 + ... + n³ (n(n+1)) ² = 2 2. Prove that any postage greater than or equal to 23 can be made using only 5-cent and 7-cent stamps. for ne Z+
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