5 NIC Given the recursive sequence a₁ = (a) Find a₁, a2, as using the recurrence relation. 2 an-1 for all n ≥ 1, where ao = -8, (b) Use either a shortcut (that we talked about in the notes) or iteration to obtain an explicit formula for an. If you use a shortcut, specify whether the recurrence sequence is arithmetic or geometric. (c) Use the explicit formula from part (b) to find a100. Do not try to calculate this number, just leave it unreduced.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 5CA
icon
Related questions
Question
5
NIC
Given the recursive sequence a₁ =
(a) Find a₁, a2, as using the recurrence relation.
2
an-1 for all n ≥ 1, where ao = -8,
(b) Use either a shortcut (that we talked about in the notes) or iteration to obtain an explicit formula
for an. If you use a shortcut, specify whether the recurrence sequence is arithmetic or geometric.
(c) Use the explicit formula from part (b) to find a100. Do not try to calculate this number, just
leave it unreduced.
Transcribed Image Text:5 NIC Given the recursive sequence a₁ = (a) Find a₁, a2, as using the recurrence relation. 2 an-1 for all n ≥ 1, where ao = -8, (b) Use either a shortcut (that we talked about in the notes) or iteration to obtain an explicit formula for an. If you use a shortcut, specify whether the recurrence sequence is arithmetic or geometric. (c) Use the explicit formula from part (b) to find a100. Do not try to calculate this number, just leave it unreduced.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning