D D D D Which of the following shows the correct first step in proving the following by mathematical induction? 3+11+19+27+...+(8n-5) = n (4n - 1) 3 + 11 + 19 + 27 +...+(8-1-5) = 1 (4.1-1) 8.1-5=1(4.1-1) 3+11+19+27 +...+(8k-5) = k (4k-1) 3+ 11 +19+27+...+ (8k - 5) + [8 (k + 1) − 5] = (k + 1) [4 (k+1)-1]

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 42E
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Subject: precalculus
The topic to be presented is: Introduction to Calculus

Question 5
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O
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Which of the following shows the correct first step in proving the following by mathematical induction?
3 + 11 + 19 + 27 +...+(8n - 5) = n (4n - 1)
3 + 11 + 19 + 27 +...+ (8 • 1-5) = 1 (4.1-1)
8.1-5=1(4.1-1)
3 + 11 + 19 + 27 +...+ (8k - 5) = k (4k-1)
3 + 11 + 19 + 27 +...+ (8k - 5) + [8 (k+ 1) - 5] = (k+ 1) [4 (k+ 1) − 1]
Transcribed Image Text:Question 5 O O O Which of the following shows the correct first step in proving the following by mathematical induction? 3 + 11 + 19 + 27 +...+(8n - 5) = n (4n - 1) 3 + 11 + 19 + 27 +...+ (8 • 1-5) = 1 (4.1-1) 8.1-5=1(4.1-1) 3 + 11 + 19 + 27 +...+ (8k - 5) = k (4k-1) 3 + 11 + 19 + 27 +...+ (8k - 5) + [8 (k+ 1) - 5] = (k+ 1) [4 (k+ 1) − 1]
Question 6
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Use the graph to estimate the limit of the function shown in blue as x→-1.
0
The limit does not exist
-3 -2
5
5-
-+
3-
2-
1
0
-1-
-2-
-3-
-4-
-5-
0
3 4
Transcribed Image Text:Question 6 O O O O Use the graph to estimate the limit of the function shown in blue as x→-1. 0 The limit does not exist -3 -2 5 5- -+ 3- 2- 1 0 -1- -2- -3- -4- -5- 0 3 4
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