At the end of the day the school year is 1/9th the way over!

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Presentation transcript:

At the end of the day the school year is 1/9th the way over! Do Now:

Regular Bell Schedule Today Period Times Length Adv. 7:42-8:07 25 minutes 1 8:10-9:04 54 minutes 2 9:07-10:01 3 10:04-10:58 4 11:01-11:55 5 11:58-12:52 6 12:55-1:49 7 1:52-2:46

Homework Review What questions do you have?

Back to Sequences In your notes, copy and fill in the table: What is the difference between consecutive terms? n 1 2 3 4 5 6 7 8 4n – 3 9

Back to Sequences In your notes, copy and fill in the table: What is the difference between consecutive terms? n 1 2 3 4 5 6 7 8 -5n + 7 -3 -8

Is there a pattern? Did you spot the pattern? If a sequence has a constant difference of -5, then the number in front of the n (the coefficient of n) is ____ In general, the difference between values of consecutive terms is the coefficient of n in the formula.

Writing the rule… What is the constant difference? How do we find the rest of the rule? Find the 30th

Writing the Rule… Find the rule for the sequence 8, 2, -4, -10, -16, … Use the rule to find the 20th Term. Find the difference between terms. Let’s use c to stand for the unknown “something” To find c pick a term and its value and substitute: -6n + c -6(1) + c = 8 c = 14 The rule is: -6n + 14 Use the rule to find the 20th term.

Practice Find the function rule, f(n) for each sequence. Then find the 20th term.

Try this: If you place 200 points on a line, into how many non-overlapping rays and segments does it divide the line? Make a table!

Does this relate to what we already know? Point A is the third term in the sequence. Point B is the seventh term. Write the rule of the sequence.

Is this familiar? This is exactly how we find the equation of a linear function (a.k.a. a line!) What is the coefficient? What is c?

Rethinking Slope What is the speed, in miles per hour, represented by Graph A? From Graph B, which in-line skater is faster? How much faster?

Equations as Sequences Write the equation of the line that passes though the points (2,1) and (6, 13)

Practice: Write the equation of the line that passes though the points (1, 8), (2, 14), and (3, 20) Write the equation of the line that passes though the points (6, 2) and (8, -6)

Homework Complete the “Lesson 2.3 – Finding the nth term” worksheet