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Assignment:

1-->Set 73 (odds) - Due Wednesday (4/4)
2-->Test #10 - Thursday (4/5)




                                          1
Lesson 73 Warm-Up:

1)   38% of the students went to the Cards game. If there were 150
students in all, how many did not go to the Cards game?

2) Graph: y = 2x - 2        Does the graph show direct variation? Why or
why not?

3) Graph: y = 1/2x       Does the graph show direct variation? Why or
why not?

4)   What is the tax on a $85.97 purchase if the rate is 8%?

5)   Solve:        2(x + 7) - 4 = 24
     [show all steps!]




                                                                           2
Lesson 73:

fyi...when we have a sequence of numbers, we can write the
"rule" as a formula.
                       number of term (n)   1   2   3   4    5

                       value of term (a)    3   6   9   12   15

The rule-->multiply by 3
    The formula--> an = 3n
        So...to find the 7th term, plug in 7 for both "n's"




                                                                  3
Some sequences have special names...

    1, 3, 6, 10, 15, ...

This is called triangular numbers because...




The formula for this sequence is: an = n(n + 1)
                                        2

         100th term-->




                                                  4
Lesson 73 Examples:

A) What is the 7th term in this sequence:
   1, 4, 9, 16, ...



B) Using the formula an = 5n - 2 what would be the 10th term?




C)   Which formula below generates the terms of this sequence?
        0, 3, 8, 15

A. an = n - 1        B. an = 2n - 1         C. an = n2 - 1




                                                                 5
D) What are the first 4 terms in the sequence generated by
the formula: an = n2 + 2n + 1




E) What is the 20th triangular number?




F)   Find the 20th term for the following sequence:
     an = 2n - 3




                                                             6

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8th PreAlg - L73--April2

  • 1. Assignment: 1-->Set 73 (odds) - Due Wednesday (4/4) 2-->Test #10 - Thursday (4/5) 1
  • 2. Lesson 73 Warm-Up: 1) 38% of the students went to the Cards game. If there were 150 students in all, how many did not go to the Cards game? 2) Graph: y = 2x - 2 Does the graph show direct variation? Why or why not? 3) Graph: y = 1/2x Does the graph show direct variation? Why or why not? 4) What is the tax on a $85.97 purchase if the rate is 8%? 5) Solve: 2(x + 7) - 4 = 24 [show all steps!] 2
  • 3. Lesson 73: fyi...when we have a sequence of numbers, we can write the "rule" as a formula. number of term (n) 1 2 3 4 5 value of term (a) 3 6 9 12 15 The rule-->multiply by 3 The formula--> an = 3n So...to find the 7th term, plug in 7 for both "n's" 3
  • 4. Some sequences have special names... 1, 3, 6, 10, 15, ... This is called triangular numbers because... The formula for this sequence is: an = n(n + 1) 2 100th term--> 4
  • 5. Lesson 73 Examples: A) What is the 7th term in this sequence: 1, 4, 9, 16, ... B) Using the formula an = 5n - 2 what would be the 10th term? C) Which formula below generates the terms of this sequence? 0, 3, 8, 15 A. an = n - 1 B. an = 2n - 1 C. an = n2 - 1 5
  • 6. D) What are the first 4 terms in the sequence generated by the formula: an = n2 + 2n + 1 E) What is the 20th triangular number? F) Find the 20th term for the following sequence: an = 2n - 3 6