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2.3 Finding the n th Term

2.3 Finding the n th Term. Objectives: I CAN find the n th term in a linear sequence using a function rule. I CAN develop a function rule for a linear sequence. Serra - Discovering Geometry Chapter 2: Reasoning in Geometry. Vocabulary. Function Rule:.

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2.3 Finding the n th Term

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  1. 2.3 Finding the nth Term Objectives: I CAN find the nth term in a linear sequence using a function rule. I CAN develop a function rule for a linear sequence. Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

  2. Vocabulary Function Rule: rule that gives the nth term of a sequence Linear Function: an equation whose graph is a line f(n) means “the function f of the variable n” Ordered Pair: (x, y) = (term number, value) Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

  3. Complete each table. Find the difference between consecutive values. Difference Example #1 What do you notice about the differences and the rules? Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

  4. Example #2 Complete the conjecture below. Then use it to find the rule for the nth term of the sequence below. If the difference between the values of consecutive terms of a sequence is the constant m, then the coefficient of n in the formula is _____. m 4 Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

  5. Example #3 Find the rule for the sequence: 7, 2, -3, -8, -13, -18, . . . 5 Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

  6. Example #4 If you place 200 points on a line, into how many non-overlapping rays and segments does it divide the line? If you place 200 points on a line, then they divide the line into 201 non-overlapping rays and segments. 6 Serra - Discovering Geometry Chapter 2: Reasoning in Geometry

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