What is n? n is the number spot of the term in a sequence. n 3
is the third number in the sequence (list) A n the result for the
last term or the term you are looking to find.
Slide 5
Sequence Formulas Arithmetic Adding----uses a common difference
Formula: a n =a 1 +(n-1)d Geometric Multiplying----uses a common
ratio Formula: a n =a 1 *r (n-1)
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C
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Find the n th term of a sequence when a written description of
the sequence is given. What is the seventh term of the geometric
sequence with a first term of 729 and a common ratio of ?
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B
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H
Slide 10
H
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A
Slide 12
390, 625
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J
Slide 14
Find the missing term of the arithmetic sequence , 25, ___,
53,
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Find the missing terms in the geometric sequence 5, 10,___,
___, 80,
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$135
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Class work
Slide 18
Series 9.4-9.5
Slide 19
Summation- Adding up the sequence Sigma Notation (SUM) End
Start Formula
Slide 20
Series S n the sum of all the numbers in a sequence formulas
are on the formula sheet.
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D
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G
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Slide 24
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G
Slide 26
Students need additional practice finding the sum of a
geometric series, particularly when the common ratio is negative.
Find the sum of this series.
A runner begins training by running 5 mi. one week. The second
week she runs a total of 6.5 mi. The third week she runs 8 mi.
Assume this pattern continues. 1. How far will she run in the tenth
week? 2. At the end of the tenth week, what will be the total
distance she has run since she started training? 3. Express the
total distance with summation notation ().
Slide 29
Suppose on Jan. 1 you deposit $1.00 in an empty piggy bank. On
Jan. 8 you deposit $1.50; on Jan. 15 you deposit $2.00; and each
week thereafter you deposit $0.50 more than the previous week. 1.
What kind of sequence do these deposits generate? 2. What amount
will you deposit in the 52nd week? 3. What is the total in the
piggy bank at the end of these 52 weeks?