(a) Find a simple recursive definition of the sequence with general term 10 In = for n23. (Note: the denominator is 5 to the power of (-n+ 2).) (b) Find a simple recursive definition of the sequence with general term for n> 3. (1) 9-(n-1) (Note: the denominator is 9 to the power of - (n- 1).) (c) Find a formula for the n-th term t, of the sequence (t,) defined by! ts = in = 2+ ty-1 for n > 3. (d) Find a formula for the n-th term t, of the sequence (t,) defined by 12 = 2; tu n- n2 3. (e) Find a simple recursive definition of the sequence with general term t, = 7(n + 1) – 2 for n> 2.
(a) Find a simple recursive definition of the sequence with general term 10 In = for n23. (Note: the denominator is 5 to the power of (-n+ 2).) (b) Find a simple recursive definition of the sequence with general term for n> 3. (1) 9-(n-1) (Note: the denominator is 9 to the power of - (n- 1).) (c) Find a formula for the n-th term t, of the sequence (t,) defined by! ts = in = 2+ ty-1 for n > 3. (d) Find a formula for the n-th term t, of the sequence (t,) defined by 12 = 2; tu n- n2 3. (e) Find a simple recursive definition of the sequence with general term t, = 7(n + 1) – 2 for n> 2.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:(a) Find a simple recursive definition of the sequence with general term
10
for n2 3.
5-n+2
(Note: the denominator is 5 to the power of (-n + 2).)
(b) Find a simple recursive definition of the sequence with general term
n!
for n>3.
(1)
9-(n-1)
(Note: the denominator is 9 to the power of - (n – 1). )
(c) Find a formula for the n-th term t, of the sequence (t,) defined by!
t3 = in = 2+ ty-1 for n > 3.
(d) Find a formula for the n-th term t, of the sequence (t,) defined by
t2 = 2; tn = -tn-1, n2 3.
(e) Find a simple recursive definition of the sequence with general term t,, = 7(n + 1) – 2 for
n > 2.
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