2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern’ indicated by these terms persists, give a formula for the nth term xn. " (a) 5, 7, 9, 11, . . ., (c) 1/2, 2/3, 3/4, 4/5, . (b) 1/2, -1/4, 1/8, −1/16, . . ., (d) 1, 4, 9, 16, . . ..
2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern’ indicated by these terms persists, give a formula for the nth term xn. " (a) 5, 7, 9, 11, . . ., (c) 1/2, 2/3, 3/4, 4/5, . (b) 1/2, -1/4, 1/8, −1/16, . . ., (d) 1, 4, 9, 16, . . ..
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern"
indicated by these terms persists, give a formula for the nth term xn.
(a) 5, 7, 9, 11, . . .,
(c) 1/2, 2/3, 3/4, 4/5, .
(b)
1/2, -1/4, 1/8, −1/16, . . .,
(d)
1, 4, 9, 16, . . ..
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