1.2 Geometric Sequences and Series Warm-up (IN) 1.Find the sum of the arithmetic series: a. 23+46+69+92+…+460 b. Learning Objective: to understand what.

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1.2 Geometric Sequences and Series Warm-up (IN) 1.Find the sum of the arithmetic series: a …+460 b. Learning Objective: to understand what a geometric sequence is and to find the terms

Notes! Geometric Sequence – Each term after the 1 st is found by multiplying the previous term by a constant Common ratio (r) - the constant you multiply by 4, 12, 36, 108, … To find r – divide consecutive terms

Ex 1 – Are the following sequences arithmetic, geometric, or neither? a. 2, 5, 8, 11, … arith d=3 b. 2, 6, 18, 54, … geo r=3 c. 60, 30, 15, 7.5, … geo d. 1, 4, 9, 16, … neither r=1/2 e. arith d=1/4 f. 3, -6, 12, -24, … geo r=-2

Ex 2 – find the common ratio and the next 2 terms a. 4, 2, 1, ____, ____ 1/2 1/4 b. 5, 20, 80, ____, ____ r= r= r=1/2 c. -2, 10, -50, ____, ____ Ex 3 – find the first 4 terms ½, 1,2, 4 -3, 6,-12, 24

To find the term of a geometric sequence with the first term and the common ratio r Ex 4 – write a rule for the term a. 2, 10, 50, 250, … b. 6, -12, 24, -48, …

c. 2, 4, 8, 16, … d. 3, 9, 27, 81, …

2,4,8, 16 3,6,12, ,50,25, 12.5 Ex 5 – find the first 4 terms

HW – worksheet #s 1-22 Out – find the 25 th term of the sequence 4,16,64,… Summary – I think this is______because… Don’t forget about POW!!