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(i) We prove "P(k + 1) (ii) We prove "If P(k) is true, then P(k+ 1) is true." SKILLS 3-14 Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. - 1) 2n (n + 1)2 1 n (n+1) 2" (n - 1)2" 14. I + 2 +2 -2 1 n(3n - 1) + (3n- 2) 2 4. 1+ 4+7+ (n + 1) +n.2" [1 (n - 1)2"] se mathematical induction to t is true. + +

(i) We prove "P(k + 1) (ii) We prove "If P(k) is true, then P(k+ 1) is true." SKILLS 3-14 Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. - 1) 2n (n + 1)2 1 n (n+1) 2" (n - 1)2" 14. I + 2 +2 -2 1 n(3n - 1) + (3n- 2) 2 4. 1+ 4+7+ (n + 1) +n.2" [1 (n - 1)2"] se mathematical induction to t is true. + +

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.5: Mathematical Induction
Problem 14E
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(i) We prove "P(k + 1) (ii) We prove "If P(k) is true, then P(k+ 1) is true." SKILLS 3-14 Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. - 1) 2n (n + 1)2 1 n (n+1) 2" (n - 1)2" 14. I + 2 +2 -2 1
Transcribed Image Text:(i) We prove "P(k + 1) (ii) We prove "If P(k) is true, then P(k+ 1) is true." SKILLS 3-14 Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. - 1) 2n (n + 1)2 1 n (n+1) 2" (n - 1)2" 14. I + 2 +2 -2 1
n(3n - 1) + (3n- 2) 2 4. 1+ 4+7+ (n + 1) +n.2" [1 (n - 1)2"] se mathematical induction to t is true. + +
Transcribed Image Text:n(3n - 1) + (3n- 2) 2 4. 1+ 4+7+ (n + 1) +n.2" [1 (n - 1)2"] se mathematical induction to t is true. + +
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