SOLUTION: The first two terms in a sequence are A1= 4 and A2=2. Each subsequent term is defined by the rule An= An-1 - An-2. What is the value of A2014?
Algebra.Com
Question 846708: The first two terms in a sequence are A1= 4 and A2=2. Each subsequent term is defined by the rule An= An-1 - An-2. What is the value of A2014?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!


 = -2)
 = 2)
 = 4)
The sequence repeats with period 6 with
. Since
,
.
RELATED QUESTIONS
the sequence is defined recursively. Write the first five terms.
a1=2, a2=5; an=an-2 - (answered by ashipm01)
Find the first 40 terms of the sequence defined by A(n+1) = {(1/2)An if An is an odd... (answered by Edwin McCravy)
The sequence is defined recursively. Write the first four terms.... (answered by Fombitz)
A sequence is defined recursively by the given formulas. Find the first five terms of the (answered by jim_thompson5910)
1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the... (answered by ikleyn)
There is a sequence of numbers a1, a2, ... where a1 = 2, a2 = 3, and an = (an-1)/(an-2) (answered by solver91311)
the sequence shown below is defined using a recursion formula. write the first four terms (answered by amarjeeth123)
1) Find the explicit formula that produces the given sequence. 2,-6,18,-54,...
A.... (answered by Boreal)
The sequence is defined recursively. Write the first four terms
a1 = 3; an = 3an-1 + 4 (answered by robertb)