Show that 1 3+2 4+3.5++ n(n+2) = 1.3= 1(1+1)[2(1)+7] 6 Simplify S₁ on the right. 3= 3 Is S₁ a true statement? No Yes What is the next step of the proof? n(n+1)(2n+7) 6 1.3+2 4+3.5+...+ (Type your answer in factored form.) A. Show that Sk+1 is true. B. Show that Sk is true. C. Show that if Sk+1 is true, then Sk is true. D. Show that if Sk is true, then Sk+1 is true. Write Sk- for n = 1. Write the statement S₁. (Type your answer in factored form.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Show that 1 3+2 4+3 5+
1.3=
Simplify S₁ on the right.
3= 3
Is S₁ a true statement?
No
Yes
1(1+1)[2(1)+7]
6
▼
... + n(n + 2) =
Write Sk.
What is the next step of the proof?
A. Show that Sk+1 is true.
B. Show that Sk is true.
(Type your answer in factored form.)
n(n + 1)(2n+7)
6
C. Show that if Sk+1 is true, then Sk is true.
D. Show that if Sk is true, then Sk+1 is true.
3+2 4+3 5+...+ =
for n = 1. Write the statement S₁.
(Type your answer in factored form.)
Transcribed Image Text:Show that 1 3+2 4+3 5+ 1.3= Simplify S₁ on the right. 3= 3 Is S₁ a true statement? No Yes 1(1+1)[2(1)+7] 6 ▼ ... + n(n + 2) = Write Sk. What is the next step of the proof? A. Show that Sk+1 is true. B. Show that Sk is true. (Type your answer in factored form.) n(n + 1)(2n+7) 6 C. Show that if Sk+1 is true, then Sk is true. D. Show that if Sk is true, then Sk+1 is true. 3+2 4+3 5+...+ = for n = 1. Write the statement S₁. (Type your answer in factored form.)
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