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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please write the answer in the empty square and draw a circle so that I can understand.

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.
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.
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