In Exercises 13–30, find a formula for the nth term of the sequence. 13. 1, –1, 1, –1, 1, . . 14. –1, 1, –1, 1, –1, .. 15. 1, –4, 9, – 16, 25, . .. l's with alternating signs l's with alternating signs Squares of the positive integers, with alternating signs Reciprocals of squares of the positive integers, with alternating signs Powers of 2 divided by multiples of 3 1 1 1 1 4' 9' 16. 1, 16’ 25’ 1 2 22 23 2ª 17. 9' 12' 15’ 18'21* Integers differing by 2 divided by products of consecutive integers 3 1 1 3 5 18. 2' 6'12' 20' 30' 19. 0, 3, 8, 15, 24, . . . Squares of the positive integers diminished by 1 Integers, beginning with –3 20. –3, –2, –1, 0, 1, . . 21. 1, 5, 9, 13, 17, . . Every other odd positive

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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In Exercises 13–30, find a formula for the nth term of the sequence.
13. 1, –1, 1, –1, 1, . .
14. –1, 1, –1, 1, –1, ..
15. 1, –4, 9, – 16, 25, . ..
l's with alternating signs
l's with alternating signs
Squares of the positive
integers, with alternating
signs
Reciprocals of squares of
the positive integers, with
alternating signs
Powers of 2 divided by
multiples of 3
1 1 1 1
4' 9'
16. 1,
16’ 25’
1 2 22 23 2ª
17.
9' 12' 15’ 18'21*
Integers differing by 2
divided by products of
consecutive integers
3 1 1 3 5
18.
2' 6'12' 20' 30'
19. 0, 3, 8, 15, 24, . . .
Squares of the positive
integers diminished by 1
Integers, beginning with –3
20. –3, –2, –1, 0, 1, . .
21. 1, 5, 9, 13, 17, . .
Every other odd positive
Transcribed Image Text:In Exercises 13–30, find a formula for the nth term of the sequence. 13. 1, –1, 1, –1, 1, . . 14. –1, 1, –1, 1, –1, .. 15. 1, –4, 9, – 16, 25, . .. l's with alternating signs l's with alternating signs Squares of the positive integers, with alternating signs Reciprocals of squares of the positive integers, with alternating signs Powers of 2 divided by multiples of 3 1 1 1 1 4' 9' 16. 1, 16’ 25’ 1 2 22 23 2ª 17. 9' 12' 15’ 18'21* Integers differing by 2 divided by products of consecutive integers 3 1 1 3 5 18. 2' 6'12' 20' 30' 19. 0, 3, 8, 15, 24, . . . Squares of the positive integers diminished by 1 Integers, beginning with –3 20. –3, –2, –1, 0, 1, . . 21. 1, 5, 9, 13, 17, . . Every other odd positive
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage