Download 6. 1 Sequences as Discrete Functions

RHHS MCR3U
Date_______
Sequences as Discrete Functions
A number sequence is a set of numbers, separated by commas, arranged in an order. The first
term is referred as t1, the second term as t2 and so on. The nth term is tn.
t1, t2 , t3, ..., tn , ....
The explicit formula is represent any term in a sequence, given the term number n,
Example 1
Given the explicit formula for the nth term, write the first 5 terms of each sequence, and graph tn
versus n,
. Determine what kind of relation for each sequence.
a)
tn=3n-2
b)
tn=n2+1
Example 2
a)
Find the explicit formula for the nth term that determines the sequence 4,7,10,13…
Example 3 Find the explicit formula for the nth term that
1. 4,
3.
16,
64,
256 …
2) 100,
10,
4) 0.1, -0.2,
1,
0.3,
0.1, …
-0.4,
0.5, …
RHHS MCR3U
Date_______
Sequences as Discrete Functions
Example 4 Determine the explicit formulas in Function Notation given a sequence:
1, 20, 25, 46, …
Term
number
n
1
Term, t n
2
10
3
25
4
46
1
First
diff
Second
diff