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**Daily Check Find the first 3 terms of the following sequence:**

Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10

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**How is a geometric sequence like an exponential function?**

Math II UNIT QUESTION: How is a geometric sequence like an exponential function? Standard: MM2A2, MM2A3 Today’s Question: How is a geometric sequence like an exponential function? Standard: MM2A3f,g

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Sequences and Series

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Geometric Sequences In geometric sequences, you multiply by a common ratio each time. 1, 2, 4, 8, 16, ... multiply by 2 27, 9, 3, 1, 1/3, ... Divide by 3 which means multiply by 1/3

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**Geometric Sequences Find the 8th term of the sequence: 2,6,18,…**

Determine the pattern: Multiply by 3 (known as the common ratio) Write the new sequence: 2,6,18,54,162,486,1458,4374 So the 8th term is 4374.

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**Geometric Sequences Again, use a formula to find large numbers.**

an = a1 • (r)n-1

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**Geometric Sequences Find the 10th term of the sequence : 4,8,16,…**

an = a1 • (r)n-1 a1 = 4 r = 2 n = 10

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**Geometric Sequences an = a1 • (r)n-1 a10 = 4 • (2)10-1 a10 = 4 • (2)9**

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**Geometric Sequences Find the ninth term of a sequence if**

a3 = 63 and r = -3 a1= ? n= 9 r = -3 a9 = ? There are 2 unknowns so you must…

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**Geometric Sequences First find t1.**

Use the sequences formula substituting t3 in for tn. a3 = 63 a3 = a1 • (-3)3-1 63 = a1 • (-3)2 63= a1 • 9 7 = a1

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**Geometric Sequences Now that you know t1, substitute again to find tn.**

an = a1 • (r)n-1 a9 = 7 • (-3)9-1 a9 = 7 • (-3)8 a9 = 7 • 6561 a9 = 45927

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**Class work Day 1: Workbook p. 159 #1-9, 13-15, 19 odd**

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Homework Page 145 #2-16 (even)

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Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

Daily Check 1)Find the first 3 terms of the following sequence: 2)Write the formula for the following arithmetic sequence. -2, 1, 4, 7, 10.

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