Use iteration to guess an explicit formula for the sequence: t₁ = tk-1 + 5k² + 7k + 3, for all integers k ≥ 1, where to = 0 (using formulas from the Summation Properties Formulae to simplify your answers whenever possible).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...
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Use iteration to guess an explicit formula for the sequence: tk = tk-1 + 5k² + 7k
+ 3, for all integers k ≥ 1, where to = 0 (using formulas from the Summation
Properties Formulae to simplify your answers whenever possible).
Transcribed Image Text:Use iteration to guess an explicit formula for the sequence: tk = tk-1 + 5k² + 7k + 3, for all integers k ≥ 1, where to = 0 (using formulas from the Summation Properties Formulae to simplify your answers whenever possible).
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