1. State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence.
3, 7, 11, 15...

2. 3, 7, 11, 15...
Arithmetic
tn = 4n - 1

3. State whether the sequence below is arithmetic, geometric or neither and then write the explicit definition of the sequence.
3, 6, 11,

4. If you subtract 2 from each you have...
3, 6, 11, 18...
(It’s exponential)
Neither
If you subtract 2 from each you have...
3, 6, 11, 18...
1, 4, 9, 16...
1, 4, 9, 16...
Therefore, tn = n²
Therefore, tn = n²+2
Therefore, tn = n²+2

5. If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?
Hint: Find what d equals.

6. If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?
We could make t1 = 10 and t3 = 16 to find d?
tn = t1 + d(n - 1)
16 = 10 + d(3 - 1)
d = 3

7. If t3 = 10 and t5 = 16 in an arithmetic sequence, what is t2?
__, __, 10, 13, 16, ...
__, __, 10, __, 16, ...
__, 7, 10, 13, 16, ...
4, 7, 10, 13, 16, ...
4, 7, 10, 13, 16, ...
t2 = 7
t2 =

8. Find the sum of the following infinite geometric series.
½+...

9. ½+...
r = ¼ t1
1 - r
S = 8
1 - ¼
S =
S = 32 3
or 10

10. Be sure to review limits and mathematical induction!!!