SOLUTION: Consider a population that grows according to the recursive rule Ln+1=Ln+36 With an initial population L0=2 Find the next five terms in the sequence: L1= L2= L3= L4= L5=

Algebra ->  Testmodule -> SOLUTION: Consider a population that grows according to the recursive rule Ln+1=Ln+36 With an initial population L0=2 Find the next five terms in the sequence: L1= L2= L3= L4= L5=       Log On


   

Question 1200957: Consider a population that grows according to the recursive rule
Ln+1=Ln+36
With an initial population L0=2
Find the next five terms in the sequence:
L1=
L2=
L3=
L4=
L5=
(PLEASE HELP!)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The recursive rule is

L%28n%2B1%29=L%28n%29%2B36

This says the (n+1)th term in the sequence is equal to the (n)th term plus 36.

In normal language, you find the next term of the sequence by adding 36 to the current term.

We are given that L(0) is 2 -- that is, the "zero-th" term of the sequence is 2.

Then, using the recursive rule, the next (1st) term is 2+36 = 38.

And then the next (2nd) term is 38+36 = 74.

It should be clear how to proceed to finish answering the question.