Add this term to both sides of the equation. 1 8+2 9+3 10++k(k+ 7) = 1.8+2.9+3.10+...+k(k+ 7) + = k(k+ 1)(k+ 11) 3 k(k+ 1)(k+ 11) 3 (Type your answer in factored form.) Simplify the right side. Factor the numerator. 1.8+2 9+3.10++k(k+ 7) + (k+ 1)(k+ 8) = + (Type your answer in factored form.) The right side of the above equation is Sk+ 1. Have we finished proving the given statement for all positive integers n? O A. No, since we must show that Sn+ 1 satisfies the statement. OB. No, since we must show that S₁ satisfies the statement.
Add this term to both sides of the equation. 1 8+2 9+3 10++k(k+ 7) = 1.8+2.9+3.10+...+k(k+ 7) + = k(k+ 1)(k+ 11) 3 k(k+ 1)(k+ 11) 3 (Type your answer in factored form.) Simplify the right side. Factor the numerator. 1.8+2 9+3.10++k(k+ 7) + (k+ 1)(k+ 8) = + (Type your answer in factored form.) The right side of the above equation is Sk+ 1. Have we finished proving the given statement for all positive integers n? O A. No, since we must show that Sn+ 1 satisfies the statement. OB. No, since we must show that S₁ satisfies the statement.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please write the answer in the empty square and draw a circle so that I can understand.
Transcribed Image Text:Add this term to both sides of the equation.
1 8+2 9+3•10+ + k(k+ 7) =
1.8+2 9+3•10+...+k(k+ 7) +
=
Simplify the right side. Factor the numerator.
k(k+ 1)(k+ 11)
3
k(k+ 1)(k+ 11)
3
(Type your answer in factored form.)
1.8+2.9+3• 10+...+k(k + 7) + (k+ 1)(k+8)
=
+
(Type your answer in factored form.)
The right side of the above equation is Sk+ 1. Have we finished proving the given statement for all positive integers n?
O A. No, since we must show that S₁ + 1 satisfies the statement.
B. No, since we must show that S₁ satisfies the statement.
O C. Yes.
O D. No, since we have only shown that Sk+ 1 satisfies the statement.
Expert Solution
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 3 steps with 3 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
