D10Find the following. SHOW AND JUSTIFY YOUR WORK.-( )(a) Given the recursive sequence a =ak-1 -k²+1 for all k ≥ 1, and a₁ = -4, find a2 and a3.(b) Compute the following sums using formulas from class. Do not try to compute somethinglike 224. You may leave your answer in terms of big numbers like this.11i. -23+ (-23)² + (-23)³ ++ (-23) ¹¹ii. 6+12+18+24+30++ 1200

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Given the recursive sequence ak = (12-06-1) ² - 1 ak-1 -k² + 1 for all k ≥ 1, and a₁ = -4, find a₂ and as-

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter14: Sequences And Mathematical Induction

Section14.1: Arithmetic Sequences

Problem 79PS

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Question

D
10
Find the following. SHOW AND JUSTIFY YOUR WORK.
-( )
(a) Given the recursive sequence a =
ak-1 -k²+1 for all k ≥ 1, and a₁ = -4, find a2 and a3.
(b) Compute the following sums using formulas from class. Do not try to compute something
like 224. You may leave your answer in terms of big numbers like this.
11
i. -23+ (-23)² + (-23)³ ++ (-23) ¹¹
ii. 6+12+18+24+30++ 1200

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