1. What’s the Pattern?
7, 2, -3, -8, -13, -18, ____, _____, _____

2. What’s the Pattern?
20, 14, 8, 2, -4, -10, ____, _____, _____

3. What’s the Pattern?
4, 8, 12, 16, 20, 24, ____, _____, _____

4. If I knew the pattern, could I figure out the 100th term?
4, 8, 12, 16, 20, 24,
____, _____, _____

5. Use this Equation: (dp)n + c = value at n
Step 1: Using given information, plug in:
discovered pattern for “dp”
term number for “n”
value of n for “value at n”
Step 2: Solve for c.

6. Use this Equation: (dp)n + c = value at n
Step 3: Plug in:
“c” from step 2
“dp” from step 1
“n” from nth term (given in question), to find the value at n.

7. Term number 1 2 3 4 5 87
Value f(n) 7 9 11
Term number 1 2 3 4 5
201
Value f(n) -2 -8
-14
-20

8. Term number 1 2 3 4 5 87
Value f(n) 25 14 -8
-19
Term number 1 2 3 4 5
201
Value f(n) 8 23 53 68 83

9. Points dividing the Line
A Geometry Example
Points dividing the Line 1 2 3 4 5 6 n
200
Non-overlapping rays
Non- overlapping segments
Total