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An octagonal fractal pattern has the sequence (1, 8, 64, 512, .). The recursive formula is az = 1,a, = a,-1 +8, for n 2 2 a b az = 1,a, = a„-1°8, for n< 2 az = 1,a, = an-1 8, for n 2 2 d. a1 = 1,a, = an-1-8, for n 2>2

An octagonal fractal pattern has the sequence (1, 8, 64, 512, .). The recursive formula is az = 1,a, = a,-1 +8, for n 2 2 a b az = 1,a, = a„-1°8, for n< 2 az = 1,a, = an-1 8, for n 2 2 d. a1 = 1,a, = an-1-8, for n 2>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:** An octagonal fractal pattern has the sequence \(1, 8, 64, 512, \ldots\). The recursive formula is _______. **Options:** - **a** \( a_1 = 1, a_n = a_{n-1} + 8, \text{ for } n \geq 2 \) - **b** \( a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \leq 2 \) - **c** \( a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \geq 2 \) - **d** \( a_1 = 1, a_n = a_{n-1} - 8, \text{ for } n \geq 2 \)
Transcribed Image Text:**Question:** An octagonal fractal pattern has the sequence \(1, 8, 64, 512, \ldots\). The recursive formula is _______. **Options:** - **a** \( a_1 = 1, a_n = a_{n-1} + 8, \text{ for } n \geq 2 \) - **b** \( a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \leq 2 \) - **c** \( a_1 = 1, a_n = a_{n-1} \cdot 8, \text{ for } n \geq 2 \) - **d** \( a_1 = 1, a_n = a_{n-1} - 8, \text{ for } n \geq 2 \)
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