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An 9-gon fractal pattern has the sequence {1, 9, 81, 729, ...}. The recursive formula is az = 1,a, = a,-1 +9, for n 2 2 a az = 1,a, = am-1·9,for n<2 az = 1,a, = an-1 - 8, for n 2 2 d az = 1,a, = an-1·8, for n > 2

An 9-gon fractal pattern has the sequence {1, 9, 81, 729, ...}. The recursive formula is az = 1,a, = a,-1 +9, for n 2 2 a az = 1,a, = am-1·9,for n<2 az = 1,a, = an-1 - 8, for n 2 2 d az = 1,a, = an-1·8, for n > 2

Advanced Engineering Mathematics
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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**Question (2 points):** An 9-gon fractal pattern has the sequence \( (1, 9, 81, 729, \ldots) \). The recursive formula is _______. - ⬜ a \[a_1 = 1, a_n = a_{n-1} + 9, \text{ for } n \geq 2\] - ⬜ b \[a_1 = 1, a_n = a_{n-1} \cdot 9, \text{ for } n \leq 2\] - ⬜ c \[a_1 = 1, a_n = a_{n-1} - 8, \text{ for } n \geq 2\] - ⬜ d \[a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \geq 2\]
Transcribed Image Text:**Question (2 points):** An 9-gon fractal pattern has the sequence \( (1, 9, 81, 729, \ldots) \). The recursive formula is _______. - ⬜ a \[a_1 = 1, a_n = a_{n-1} + 9, \text{ for } n \geq 2\] - ⬜ b \[a_1 = 1, a_n = a_{n-1} \cdot 9, \text{ for } n \leq 2\] - ⬜ c \[a_1 = 1, a_n = a_{n-1} - 8, \text{ for } n \geq 2\] - ⬜ d \[a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \geq 2\]
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