(a) State whether the sequence (tn) defined recursively by t₁ = -1, in =l-t3, n22 is an arithmetic or a geometric sequence, and then find a direct formula for the n-th term. Use your formula to find t10.
(a) State whether the sequence (tn) defined recursively by t₁ = -1, in =l-t3, n22 is an arithmetic or a geometric sequence, and then find a direct formula for the n-th term. Use your formula to find t10.
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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DISCRETE MATHS

Transcribed Image Text:: (a) State whether the sequence (tn) defined recursively by
t₁ = -1, in =t-+3, n22
is an arithmetic or a geometric sequence, and then find a direct formula for the
n-th term. Use your formula to find t10.
(b) Find a recursive definition of the sequence with direct formula
in = n tr 121
(c) Find a recursive definition of the sequence with direct formula
3
tn
n21
n!'
(d) Write a MATLAB program which displays a list of the first 10 terms of the
sequence in part (b).
(e) Write a MATLAB program which computes the 20th partial sum of the se-
quence in part (a).
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