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6.3 Explicit Formulas for Sequences
Ex 1: a) Is this Arithmetic or Geometric? Why? b) What's the 100th number in the sequence? c) Explain how you got the 100th number? Is there an easier way? Explicit Formula: General Form for Arithmetic Explicit Formula
Ex 2: a) Is this Arithmetic or Geometric? Why? b) What’s the 25th^ term of the sequence? c) What’s an explicit formula for this sequence?
General Form for Geometric Explicit Formulas
NOTES
Ex 3:a) Is this Arithmetic or Geometric? Why? b) What is the explicit formula for this sequence? c) What is the 34 th^ term for this sequence? d) Describe what the graph will look like using complete sentences. Ex 4:a) Is this sequence arithmetic or geometric? Why?
b) What is the explicit formula for this sequence? YOU TRY!Consider the following sequence:a) Is this sequence geometric or arithmetic? Why? b) What is the explicit formula for this sequence? c) Describe what the graph will look like using complete sentences.
SUMMARY:
summarize^ Now,
your here! notes
Directions: 6) 1.25, 2.75, 6 ‐ 10: 4.25, Use 5.75 the sequence to answer each of the questions. a) What is the explicit formula for this sequence?
b) What is the 25 th^ term of the sequence? c) sentences. Describe what the graph will look like using complete
- a) (^) What‐5, ‐15, is ‐the45, ‐explicit (^135) formula for this sequence?
b) What is the 15 th^ term of the sequence? c) sentences. Describe what the graph will look like using complete
- a) 4,What 15, (^) is26, the (^37) explicit formula for this sequence? b) sequence? What is the 20 th^ term of the
c) using Describe complete what sentences. the graph will look like
- a) 98,What 89, is 80, the (^71) explicit formula for this sequence? b) sequence? What is the 30 th^ term of the
c) using Describe complete what sentences. the graph will look like
- a) What 200, is100, the 50, explicit (^25) formula for this sequence? b) sequence? What is the 10 th^ term of the
c) using Describe complete what sentences. the graph will look like
Directions: set 11) െ1 ൌ notation. ିଵ Solve the equation. Put your solution into Circle the given all the equation. ordered pairs ሻݕ ,ݔሺ that are solutions to ଶ െ 5^ 12) 7 ݕെ 2 ݔൌ െ ሺ11, 3ሻ ሺ0, 1ሻ ሺ1, െ8ሻ ሺെ5, 1ሻ ሺ4, 1ሻ
Directions: 13) ሺ3 ݇െ 1ሻ ሺ3݇ Find ଶ the െ 11 ݇െ 8 ሻ product. Directions: graphically 14) 92 െ4 ሺ ݔെ 9ሻ Solveand in each set notation.inequality. Express the solution
Directions: 15) Use the dot plot to create a boxplot. Plot the Boxplot on the same axis above the dot plot.
Plot your boxplot here, using the dot plot’s number line.
a. What percent of the students read between 1 and 9 books last summer?^ IQR^ =^ __________
b.c. The middle 50% of students read how many books?The top 25% of students read between how many books?
6.3 Explicit Formulas for Sequences
Use the following patterns to answer the questions. 1) 2, 8, 32, 128, 512 a. What is the explicit formula for this sequence?
b. What is the 10 th^ term of the sequence?
- a. ‐What1, 2, 5, is 8, the 11, explicit (^14) formula for this sequence?
b. What is the 15 th^ term of the sequence?
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