I Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. 3. 2 + 4 + 6 + ...+ 2n = n(n + 1) n(3n – 1) 4. 1+ 4 + 7+ ..+ (3n – 2) = 2 п(Зп + 7) • 5. 5+ 8 + 11 +.+ (3n + 2) 2 п(п + 1)(2л + 1) 6. 12 + 22 + 32 + ... + n? = 6 7. 1-2 + 2.3 + 3-4 + ... + n(n + 1)= "(n + 1)(n + 2) 3 п(п + 1)(2л + 7) 8. 1.3 + 2.4 + 3.5 + . + n(n + 2) = 6 n°(n + 1)? 9. 1' + 2° + 3° + ...+ 4
I Proving a Formula Use mathematical induction to prove that the formula is true for all natural numbers n. 3. 2 + 4 + 6 + ...+ 2n = n(n + 1) n(3n – 1) 4. 1+ 4 + 7+ ..+ (3n – 2) = 2 п(Зп + 7) • 5. 5+ 8 + 11 +.+ (3n + 2) 2 п(п + 1)(2л + 1) 6. 12 + 22 + 32 + ... + n? = 6 7. 1-2 + 2.3 + 3-4 + ... + n(n + 1)= "(n + 1)(n + 2) 3 п(п + 1)(2л + 7) 8. 1.3 + 2.4 + 3.5 + . + n(n + 2) = 6 n°(n + 1)? 9. 1' + 2° + 3° + ...+ 4
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 67E
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