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

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

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

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

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.

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.

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

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

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