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.
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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
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