1. (a) Find a direct formula for the n-th term of the sequence (tn) defined recursively by t₁ = -1, tn = tn-1 +4, n> 2 (b) Find a recursive definition of the sequence with general term 3n+1 n! tn 2 n ≥ 1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 43E: Assume that each sequence is defined recursively. Find the first four terms of a sequence.a1=4 and...
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1.
(a) Find a direct formula for the n-th term of the sequence (tn) defined
recursively by
t₁
=
-1,
tn = tn-1+4, n≥ 2
(b) Find a recursive definition of the sequence with general term
3n+1
n!
tn
2
n> 1
Transcribed Image Text:1. (a) Find a direct formula for the n-th term of the sequence (tn) defined recursively by t₁ = -1, tn = tn-1+4, n≥ 2 (b) Find a recursive definition of the sequence with general term 3n+1 n! tn 2 n> 1
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