Use polynomial fitting to find the formula for the nth term of the sequence (an)n≥0(an)n≥0(an)n≥0 which starts, 2,5,11,21,36,…. Explain all parts of your reasoning.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.1: Sequences And Series
Problem 6ECP: Write the first five terms of the sequence given by an=3n+1n!. Begin with n=0.
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Use polynomial fitting to find the formula for the nth term of the sequence (an)n≥0(an)n≥0(an)n≥0 which starts,

2,5,11,21,36,….
Explain all parts of your reasoning.

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