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QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using mathematical induction. 5+ 8 + 11 + ... + (3n+ 2) (3n+ 7), for all positive integers n. 2 Let S, be the statement 5 + 8+ 11 + ... + (3n+ 2) =(3n+ 7). Show that S, is true. Since (3(1) + 2) = 5, S1 is true. Since (3(1) 3(1) + 7)=(10) = 5, Sq is true. Since 5 + 8 = 13 =;(3(2)+7), S, is true. Since 5 +(3(1) + 2) : (5 + 3(1)+ 2), S, is true.

QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using mathematical induction. 5+ 8 + 11 + ... + (3n+ 2) (3n+ 7), for all positive integers n. 2 Let S, be the statement 5 + 8+ 11 + ... + (3n+ 2) =(3n+ 7). Show that S, is true. Since (3(1) + 2) = 5, S1 is true. Since (3(1) 3(1) + 7)=(10) = 5, Sq is true. Since 5 + 8 = 13 =;(3(2)+7), S, is true. Since 5 +(3(1) + 2) : (5 + 3(1)+ 2), S, is true.

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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QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using mathematical induction. 5 + 8 + 11 + + (3n+ 2) (3n+ 7), for all positive integers n. Let S, be the statement 5+ 8+ 11 + ... + (3n+ 2): (3n+7). Show that S, is true. = Since (3(1) + 2) = 5, S, is true. Since (3(1) + 7) =(10) = 5, S, is true. 2 Since 5 + 8 = 13 ==(3(2)+ 7), S, is true. Since 5 +(3(1) + 2) =5(5 + 3(1) + 2), S, is true.
Transcribed Image Text:QUESTION 12 Solve the problem. Suppose you wish to prove the statement that follows using mathematical induction. 5 + 8 + 11 + + (3n+ 2) (3n+ 7), for all positive integers n. Let S, be the statement 5+ 8+ 11 + ... + (3n+ 2): (3n+7). Show that S, is true. = Since (3(1) + 2) = 5, S, is true. Since (3(1) + 7) =(10) = 5, S, is true. 2 Since 5 + 8 = 13 ==(3(2)+ 7), S, is true. Since 5 +(3(1) + 2) =5(5 + 3(1) + 2), S, is true.
QUESTION 11 Find the indicated term of the binomial expansion. (x - y)16; seventh term O -8008x10y6 O 11,440xºy7 O 8008x10y6 O-11,440x°y7
Transcribed Image Text:QUESTION 11 Find the indicated term of the binomial expansion. (x - y)16; seventh term O -8008x10y6 O 11,440xºy7 O 8008x10y6 O-11,440x°y7
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