For each sequence, find a formula for the general term, an. For example, if given the sequence: {1,4, 9, 16, 25, 36, ...} you would enter n?. 1 a) The general term for the sequence 4 16.. 1. 1 1 } is an = 6 b) The general term for the sequence { 16 25 36 » 49.. 3 4 } is an =
For each sequence, find a formula for the general term, an. For example, if given the sequence: {1,4, 9, 16, 25, 36, ...} you would enter n?. 1 a) The general term for the sequence 4 16.. 1. 1 1 } is an = 6 b) The general term for the sequence { 16 25 36 » 49.. 3 4 } is an =
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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![For each sequence, find a formula for the general term, \( a_n \). For example, if given the sequence: \( \{ 1, 4, 9, 16, 25, 36, \ldots \} \) you would enter \( n^2 \).
a) The general term for the sequence \( \left\{ \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \ldots \right\} \) is \( a_n = \) [Input box]
b) The general term for the sequence \( \left\{ \frac{3}{16}, \frac{4}{25}, \frac{5}{36}, \frac{6}{49}, \ldots \right\} \) is \( a_n = \) [Input box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9134c255-a2be-4530-8da1-a6d66778d97d%2F072e14e8-16d8-4966-9fa7-51845c266091%2Fcwd9zlu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For each sequence, find a formula for the general term, \( a_n \). For example, if given the sequence: \( \{ 1, 4, 9, 16, 25, 36, \ldots \} \) you would enter \( n^2 \).
a) The general term for the sequence \( \left\{ \frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \ldots \right\} \) is \( a_n = \) [Input box]
b) The general term for the sequence \( \left\{ \frac{3}{16}, \frac{4}{25}, \frac{5}{36}, \frac{6}{49}, \ldots \right\} \) is \( a_n = \) [Input box]
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