Write Sk 1.13+2 14+3•15+...+ Write SK+1- (Type your answer in factored form.) 1.13+2+14+3•15++= (Type your answer in factored form.) Simplify inside the parentheses on the right side. Do not multiply. Sk+1=(Type your answer in factored form.) What do we do with statements S, and Sk+1? OA. Use S, and S, to prove that Sk+1 is true. OB. Use SK and Sk+1 to prove that S, is true. OC. Use S to prove that Sk+1 is true. OD. Use Sk+1 to prove that S is true. To continue the proof by induction, begin with 1.13+2 14+3•15+...+k(k+ 12) = OA. n(n+12) OB. K(k+12) OC. k(k-12) OD. (k+ 1)(k+13) k(k+ 1)(2k +37) 6 which is assumed to be true, and add the k+ 1 term to both sides of the formula. What is this term?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.5: Using The Distributive Property
Problem 48PPS
Question

Please, if possible, circle the answer so that I can understand the steps. Please write clearly if you write by hand so that I can read the numbers. I appreciate your understanding.
This question has three parts, and here is the second  part, and I will send you the second and third parts separately

Write Sk.
1.13 +2.14 +3•15+ ... +
Write Sk+1.
(Type your answer in factored form.)
1.13+2 14+3•15+ ... +
=
(Type your answer in factored form.)
Simplify inside the parentheses on the right side. Do not multiply.
SK + 1 =
(Type your answer in factored form.)
What do we do with statements Sk and Sk +1?
A. Use Sk and S to prove that Sk + 1 is true.
B. Use SK and Sk + 1 to prove that S is true.
OC. Use S to prove that Sk+1 is true.
D. Use Sk+1 to prove that Sk is true.
A. n(n+12)
B. k(k+12)
C. k(k-12)
D. (k+ 1)(k+13)
To continue the proof by induction, begin with 1.13 +2.14+3 • 15 + ... + k(k + 12) =
k(k+ 1)(2k + 37)
6
which is assumed to be true, and add the k + 1 term to both sides of the formula. What is this term?
Transcribed Image Text:Write Sk. 1.13 +2.14 +3•15+ ... + Write Sk+1. (Type your answer in factored form.) 1.13+2 14+3•15+ ... + = (Type your answer in factored form.) Simplify inside the parentheses on the right side. Do not multiply. SK + 1 = (Type your answer in factored form.) What do we do with statements Sk and Sk +1? A. Use Sk and S to prove that Sk + 1 is true. B. Use SK and Sk + 1 to prove that S is true. OC. Use S to prove that Sk+1 is true. D. Use Sk+1 to prove that Sk is true. A. n(n+12) B. k(k+12) C. k(k-12) D. (k+ 1)(k+13) To continue the proof by induction, begin with 1.13 +2.14+3 • 15 + ... + k(k + 12) = k(k+ 1)(2k + 37) 6 which is assumed to be true, and add the k + 1 term to both sides of the formula. What is this term?
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