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Which represents the substitution of (k+ 1) into 3 (1) +3 (2) +3 (3) +........+3 (k)= k (k+ 2)? o 3 (1) + 3 (2) + 3 (3)+..... +3 (k)= (k+1) [(k+1) + 2]

Which represents the substitution of (k+ 1) into 3 (1) +3 (2) +3 (3) +........+3 (k)= k (k+ 2)? o 3 (1) + 3 (2) + 3 (3)+..... +3 (k)= (k+1) [(k+1) + 2]

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 15E
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Question 50 Which represents the substitution of (k+ 1) into 3 (1) + 3 (2) + 3 (3) +........+3 (k)= k (k+ 2)? 3 (1) +3 (2) +3 (3) +..... +3(k)= (k+1) [(k+1) + 2] ○ (k+1) +2 +3 (k+ 1) = (k+1) [(k+ 1) + 2] ○3 (1) + 3 (2) + 3 (3)+........+3 (k) + 3 (k+ 1) = (k+ 1) (k+2) ○ 3 (1) + 3 (2) + 3 (3) +........ +3 (k+1) = (k+ 1) (k+3) .....
Transcribed Image Text:Question 50 Which represents the substitution of (k+ 1) into 3 (1) + 3 (2) + 3 (3) +........+3 (k)= k (k+ 2)? 3 (1) +3 (2) +3 (3) +..... +3(k)= (k+1) [(k+1) + 2] ○ (k+1) +2 +3 (k+ 1) = (k+1) [(k+ 1) + 2] ○3 (1) + 3 (2) + 3 (3)+........+3 (k) + 3 (k+ 1) = (k+ 1) (k+2) ○ 3 (1) + 3 (2) + 3 (3) +........ +3 (k+1) = (k+ 1) (k+3) .....
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