Question

learning goal (from lesson 5)

1. i can recognize that sequences are functions with the list of numbers as the range. i can recognize that sequences are functions with the term numbers as the domain.

lesson reflection (circle one)
i got it!
i’m still learning it.

1. find the 5th term of the sequence defined by the given rule. (0.5 point)

f(n) = 6n + 4

1. which function defines the sequence 5, 8, 11, …? (0.5 point)

□ f(n) = 5n + 3
□ f(n) = 3n + 5
□ f(n) = 3n + 2
□ f(n) = 2n + 3
a gym charges $90 as the membership fee and $25 monthly fee. for problems 13-15, use the explicit rule f(n) = 25n + 90 that has a domain of {1, 2, 3, 4, 5}. (0.5 point each)

1. complete the table.

n	1	2	3	4	5
f(n) =
f(n)

1. graph the sequence using the ordered pairs.

(graph with x-axis labeled n and y-axis labeled fee (in dollars))

Explanation:

Step1: Calculate 5th term for n=5

$f(5) = 6(5) + 4 = 30 + 4 = 34$

Step1: Check n=1 for each function

$f(1)=5(1)+3=8$, $f(1)=3(1)+5=8$, $f(1)=3(1)+2=5$, $f(1)=2(1)+3=5$. Keep first two options.

Step2: Check n=2 for remaining functions

$f(2)=5(2)+3=13$ (not 11), $f(2)=3(2)+5=11$ (matches).

Step1: Compute f(n) for n=1-5

$f(1)=25(1)+60=85$, $f(2)=25(2)+60=110$, $f(3)=25(3)+60=135$, $f(4)=25(4)+60=160$, $f(5)=25(5)+60=185$.

Step1: List ordered pairs from Q13

Ordered pairs: (1,85), (2,110), (3,135), (4,160), (5,185).

Step2: Plot points on graph

Mark (1,85), (2,110), (3,135), (4,160), (5,185) on the grid with x-axis as months and y-axis as fee.

Answer:

34