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Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 3, 10, 23, 42, 67, 98, ... an

Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts, 3, 10, 23, 42, 67, 98, ... an

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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Use polynomial fitting to find the formula for the \( n \)th term of the sequence \( (a_n)_{n \geq 0} \) which starts: \[ 3, 10, 23, 42, 67, 98, \ldots \] \[ a_n = \]
Transcribed Image Text:Use polynomial fitting to find the formula for the \( n \)th term of the sequence \( (a_n)_{n \geq 0} \) which starts: \[ 3, 10, 23, 42, 67, 98, \ldots \] \[ a_n = \]
Expert Solution
Step 1: Introduction

Given:

The sequence is given by 3 comma space 10 comma space 23 comma space 42 comma space 67 comma space 98 comma space. space. space..

To Find:

We have to determine the formula for the n th term of the given sequence using polynomial fitting.

steps

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