Consider the sequence.     20 ,    20 +    20 ,    20 +    20 +    20   (a) Compute the first five terms of this sequence. (Round your answers to four decimal places.)a1 =  a2 =  a3 =  a4 =  a5 =  (b) Write a recursion formula for an, for n ≥ 2.an+1 =  an​+20      (c) Find  lim n → ∞ an.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 1PT: Write the first four terms of the sequence defined by the recursive formula a=14,an=2+an12
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Question

Consider the sequence.

 
  20
  20 + 
  20
  20 + 
  20 + 
  20
 
(a) Compute the first five terms of this sequence. (Round your answers to four decimal places.)
a1 =  
a2 =  
a3 =  
a4 =  
a5 =  

(b) Write a recursion formula for an, for n ≥ 2.
an+1 = 
an​+20
 
 
 

(c) Find 
lim n → ∞ an.

 
 
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