Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter6: Fractions
Section6.4: Least Common Denominators
Problem 13E
Related questions
Question
Is it possible to help me for the last step? Please put a line around the final answer so I can understand.
![To continue the proof by induction, begin with 4 + 12 + 20 + ... + (8k − 4) = 4k² which is assumed to be true, and add the k + 1 term to both sides of the formula. What is this term?
A. 8(k+1)-4
B. 8(n+1)-4
C. 4
D. 8k-4
Add this term to both sides of the equation.
= 4k²
4K²
4 + 12 + 20+...+(8k-4)
4 + 12 + 20+...+(8k − 4) +
(Do not simplify.)
= 4k
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc23fa484-1a65-494d-a105-016fbc39cb22%2F8b4dfccf-d09e-4f3c-9cae-6ff7cbb14f0b%2Fz0i59al_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To continue the proof by induction, begin with 4 + 12 + 20 + ... + (8k − 4) = 4k² which is assumed to be true, and add the k + 1 term to both sides of the formula. What is this term?
A. 8(k+1)-4
B. 8(n+1)-4
C. 4
D. 8k-4
Add this term to both sides of the equation.
= 4k²
4K²
4 + 12 + 20+...+(8k-4)
4 + 12 + 20+...+(8k − 4) +
(Do not simplify.)
= 4k
+
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning