What are the first three terms of the sequence modeled by the recursive function An=1/2a n-1 , when a1=1?
Mathematics · College · Mon Jan 18 2021
llm
Answered on
Given the recursive function:
An = ½ a1 ( n-1)
Determine the first three terms when,
a1 = 1
Solution:
In order to determine the first three terms, we simply need to substitute the value of n by 1 2, 3, since we already know a1.
a1 = ½ (1) (1 - 1)
a1 = ½ ( 0 )
a1 = 0
a2 = ½ (1)(2 - 1)
a2 = ½ (1)(1)
a2 = 0.5
a3 = ½ (1) ( 3 - 1)
a3 = ½ (2)
a3 = 1
Final answer:
0, 0.5, 1