What is the common difference?
3, 7, 11, ...
4
5, 15, 25, 35, ____
45
5, 15, 25, 35, ...
-5
1, 2, 3, 4, 5, ...
What is a "common difference?"
- how much is being added or subtracted to get from one number to the next in an arithmetic sequence
8, 2, -4, ...
-6
230, 221, 212, 203, ...
194
230, 221, 212, 203, ...
239
10, 9, 8, 7, ...
yes
What is t(0)?
the number that would come before the first term of a sequence
A sequence has the equation
t(n)=7n+2
7
3.5, 9, 14.5, 20, ...
25.5
3.5, 9, 14.5, 20, ...
-2
t(n+1)=t(n)-3
yes, to get the next term you subtract 3 from the previous term
what is
t(n+1)?
t(4)=6
and
t(12)=18
1.5
11.54, 19.08, 26.62, 34.16, ...
41.7
t(4)=6
and
t(12)=18
0
t(n+1)=3t(n)-2
no! to get the next term you don't just add, you also multiply by 3
What does
t(3)=43
mean?
The 3rd term in a sequence is 43.
t(9)=14.7
and
t(18)=35.4
2.3
88, 84.55, 81.1, 77.65, ...
74.2
t(9)=14.7
and
t(18)=35.4
-6
t(n+1)=t(n)-3/2
Yes, to get the next term, you just subtract 3/2
What is Mr. Lopez's middle name?
He doesn't have one!