Writing explicit/recursive rules and finding sequence?

Question

1. Write a recursive rule for the sequence 10,18,26,34...

 

2.Write a recursive function for the sequence 1,-2,-5,-8...

 

(Chart) Leia sells homemade bars, the profit she makes in dollars, y, from the number of bars she sells x, is represented.

1   2  3  4  5  6

-4 -2  0  2  4  6

 

A. Write a recursive rule for the sequence.

 

B. Write an explicit rule for the sequence.

 

C. In July, 32 bars are sold. What is her profit in July?

Answer 1

Hi Laine.

 

1. First lets determine f(1) = 10 and f(2) = 18

This is a change of +8

 

A recursive rule for this is:

t_n = t_n-1 + 8

2. First lets determine f(1) = 1 and f(2) = -2
This is a change of -3

A recursive function is:
f(n) = f(n-1) - 3

Hopefully this will help you with the rest of the problem.