Question

4. Bill is able to save $35/week after working part-time and paying his expenses. These two formulas show his weekly savings:
A. f(1) = 35, f(n) = f(1) + f(n-1) for n > 1
B. f(n) = 35n

1. Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations.

2. Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

Answer 1

use this rule
A. f(1) = 35, f(n) = f(1) + f(n-1) for n > 1

make a table
n | f(n)
-----------
1 | 35
2 | ?

you need to find f(2)
the rule says, for n>1 (and here n is 2, so we use it)
f(n) = f(1)+ f(n-1)
replace n with 2: f(2) = f(1) + f(2-1)
or
f(2) = f(1)+f(1)
from the table, we see f(1) is 35, so you get
f(2) = 35+35
f(2) = 70

Answer 2

now fill in n=3, and find f(3)
can you do that ?

Answer 3

yea?

Answer 4

got it thanks!

Answer 5

Welcome :)

Answer 6

Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function.

Answer 7

?

Answer 8

2. Use the recursive formula to make a table of values for 1 ≤ n ≤ 5. Show your calculations.