O Which of the following is the basis step? n 7.3n+1 7 2 A. If 7.3² B. Suppose you are using induction to prove P(n) is true for all integers n > 0. C. O E. n i=0 i=0 n Let P(n) be the predicate Σ7.3² i=0 i=0 OD. 7 = 7. D. n B. If 7.3² = 7.3² k 7.3² i=0 OF. None of the above k i=0 - 7.3² 7.3² 7.3n+1 2 7.3n+1 2 7.3² - 7.3n+1 2 Which of the following is the inductive hypothesis? k 7.3k+1 A. Σ 7.30 i=0 7.3k+1 2 - 2 7.3k+1 2 7.3k+ 2 i=0 O E. None of the above - - 7 7 7 n 7 - 7 -7 7.3n+1 2 for n = 0, then 7.3² for some integer n. is true for n = 0. for n = 1. n i=0 7 for some integer k > 0. 1 for all integers k ≥ 0. where the domain of n is all integers. = 7.3n+1 2 k+1 7 for some integer k ≥ 0, then 7.3² i=0 for all integers k with 0 ≤ k ≤ n. 7 for n = 1. 7.3k+2 - 7 2
O Which of the following is the basis step? n 7.3n+1 7 2 A. If 7.3² B. Suppose you are using induction to prove P(n) is true for all integers n > 0. C. O E. n i=0 i=0 n Let P(n) be the predicate Σ7.3² i=0 i=0 OD. 7 = 7. D. n B. If 7.3² = 7.3² k 7.3² i=0 OF. None of the above k i=0 - 7.3² 7.3² 7.3n+1 2 7.3n+1 2 7.3² - 7.3n+1 2 Which of the following is the inductive hypothesis? k 7.3k+1 A. Σ 7.30 i=0 7.3k+1 2 - 2 7.3k+1 2 7.3k+ 2 i=0 O E. None of the above - - 7 7 7 n 7 - 7 -7 7.3n+1 2 for n = 0, then 7.3² for some integer n. is true for n = 0. for n = 1. n i=0 7 for some integer k > 0. 1 for all integers k ≥ 0. where the domain of n is all integers. = 7.3n+1 2 k+1 7 for some integer k ≥ 0, then 7.3² i=0 for all integers k with 0 ≤ k ≤ n. 7 for n = 1. 7.3k+2 - 7 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 30E
Related questions
Question
100%
Transcribed Image Text:O
Which of the following is the basis step?
n
7.3n+1 7
2
A. If 7.3²
B.
Suppose you are using induction to prove P(n) is true for all integers n > 0.
C.
O
E.
n
i=0
i=0
n
Let P(n) be the predicate Σ7.3²
i=0
i=0
OD. 7 = 7.
D.
n
B. If
7.3² =
7.3²
k
7.3²
i=0
OF. None of the above
k
i=0
-
7.3²
7.3²
7.3n+1
2
7.3n+1
2
7.3² -
7.3n+1
2
Which of the following is the inductive hypothesis?
k
7.3k+1
A. Σ 7.30
i=0
7.3k+1
2
-
2
7.3k+1
2
7.3k+
2
i=0
O E. None of the above
-
-
7
7
7
n
7
- 7
-7
7.3n+1
2
for n = 0, then 7.3²
for some integer n.
is true for n = 0.
for n = 1.
n
i=0
7
for some integer k > 0.
1
for all integers k ≥ 0.
where the domain of n is all integers.
=
7.3n+1
2
k+1
7
for some integer k ≥ 0, then 7.3²
i=0
for all integers k with 0 ≤ k ≤ n.
7
for n = 1.
7.3k+2 - 7
2
Transcribed Image Text:Which of the following do you prove in the inductive step?
k
7.3k+2
7
Α. Σ 7.30
2
i=0
k+1
7.3k+1
B.7.3²
Β.
2
7.3n+1
2
7.3n+1
2
7.3k+2
2
i=0
n
c. 7.3⁰
O
i=0
n
=
=
=
D. 7.3⁰
i=0
k+1
E.Σ7.3²
i=0
OF. None of the above
=
=
7
7
for all integers n ≥ 0.
7
for all integers n > k.
7
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning