Find the closed formula for each of the following sequences (a„)n21 by relating them to a well known sequence. Assume the first term given is a1. а. 4, 7, 12, 19, 28, ... an =

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.1: Sequences
Problem 12.8TI: Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …
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Find the closed formula for each of the following sequences \((a_n)_{n \geq 1}\) by relating them to a well-known sequence. Assume the first term given is \(a_1\).

a. \(4, 7, 12, 19, 28, \ldots\)

\[
a_n = \boxed{\phantom{a}}
\]

b. \(-1, 1, 4, 8, 13, \ldots\)

\[
a_n = \boxed{\phantom{a}}
\]

c. \(7, 11, 16, 22, 29, \ldots\)

\[
a_n = \boxed{\phantom{a}}
\]

d. \(23, 119, 719, 5039, 40319, \ldots\)

\[
a_n = \boxed{\phantom{a}}
\]
Transcribed Image Text:Find the closed formula for each of the following sequences \((a_n)_{n \geq 1}\) by relating them to a well-known sequence. Assume the first term given is \(a_1\). a. \(4, 7, 12, 19, 28, \ldots\) \[ a_n = \boxed{\phantom{a}} \] b. \(-1, 1, 4, 8, 13, \ldots\) \[ a_n = \boxed{\phantom{a}} \] c. \(7, 11, 16, 22, 29, \ldots\) \[ a_n = \boxed{\phantom{a}} \] d. \(23, 119, 719, 5039, 40319, \ldots\) \[ a_n = \boxed{\phantom{a}} \]
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