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Use mathematical induction to prove the statement is true for every positive integer n. 20+40 +60++ 20n = 10n(n+1) Simplify S, on the right. S₁: 20 = 20 Is S, a true statement? Yes No What is the next step in the proof? O Show that if Sk+1 is true, then Sk is true. Show that Sk is true. Show that if S is true, then Sk+ 1 is true. O Show that Sk+1 is true. Write Sk Sk: 20 + 40 +60+...+ (Do not simplify.) Write Sk +1. Sk+1: 20+40 +60+...+20(k+ 1) = 1 (Simplify your answer. Type your answer in factored form.) ......

Use mathematical induction to prove the statement is true for every positive integer n. 20+40 +60++ 20n = 10n(n+1) Simplify S, on the right. S₁: 20 = 20 Is S, a true statement? Yes No What is the next step in the proof? O Show that if Sk+1 is true, then Sk is true. Show that Sk is true. Show that if S is true, then Sk+ 1 is true. O Show that Sk+1 is true. Write Sk Sk: 20 + 40 +60+...+ (Do not simplify.) Write Sk +1. Sk+1: 20+40 +60+...+20(k+ 1) = 1 (Simplify your answer. Type your answer in factored form.) ......

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use mathematical induction to prove the statement is true for every positive integer n. 20 + 40 +60 + ... + 20n = 10n(n + 1) Simplify S₁ on the right. S₁: 20 20 Is S₁ a true statement? Yes No What is the next step in the proof? Show that if Sk+1 O Show that Sk +1 Write Sk. Sk+ Show that Sk is true. Show that if Sk is true, then Sk + 1 is true. Sk: 20+40+60 + ... + (Do not simplify.) Write Sk+1. is true, then Sk is true. is true. = 20 + 40 +60+...+20(k+ 1) = 1 +1. (Simplify your answer. Type your answer in factored form.)
Transcribed Image Text:Use mathematical induction to prove the statement is true for every positive integer n. 20 + 40 +60 + ... + 20n = 10n(n + 1) Simplify S₁ on the right. S₁: 20 20 Is S₁ a true statement? Yes No What is the next step in the proof? Show that if Sk+1 O Show that Sk +1 Write Sk. Sk+ Show that Sk is true. Show that if Sk is true, then Sk + 1 is true. Sk: 20+40+60 + ... + (Do not simplify.) Write Sk+1. is true, then Sk is true. is true. = 20 + 40 +60+...+20(k+ 1) = 1 +1. (Simplify your answer. Type your answer in factored form.)
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