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Ch.9 Sequences and SeriesSection 2 – Arithmetic Sequences
Definition: Arithmetic SequenceA sequence where the difference between consecutive terms is constant. This difference is the common difference. a, a + d, a + 2d, a +3d,…
Formulas Recursive: initial condition recursive formula Explicit:
EXamples Is the sequence an arithmetic sequence? 1.) 3,6,9,12,15,…2.) 1,4,9,16,25,…
EXamples What is the 100th term of the sequence beginning with 6, 11, …?
EXample What are the second and third terms of the arithmetic sequences 100, __, __, 82,…
Definition: Arithmetic MeanThe average of two numbers and . In an arithmetic sequence, the middle term of any three consecutive terms is the arithmetic of the other two terms.
EXample What is the missing term of the arithmetic sequence …, 15, __, 59, …?
EXample The numbers of seats in the first 13 rows in the section of an arena form an arithmetic sequence. Row 1 has 14 seats, row 2 has 16 seats. How many seats are in row 13?
Recursive and Explicit Formulas for Arithmetic (Linear) Sequences.
I can identify and extend patterns in sequences and represent sequences using function notation. 4.7 Arithmetic Sequences.
Arithmetic Sequences Notes. Definitions Sequence is a set of numbers arranged in a particular order. Term is one of the set of numbers in a sequence.
Arithmetic Sequences and Series
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11.3 – Geometric Sequences.
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Section 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence.
Describe the pattern in each sequence. 10, 8, 6, 4, 2, ….. 100, 117, 134, 151, 168, …. 5/7, 8/7, 11/7, 2.
Section 7.2 Arithmetic Sequences Arithmetic Sequence Finding the nth term of an Arithmetic Sequence.
Geometric Sequences and Series
Arithmetic Sequences Standard: M8A3 e. Use tables to describe sequences recursively and with a formula in closed form.
8-1: Arithmetic Sequences and Series Unit 8: Sequences/Series/Statistics English Casbarro.
9.2 Arithmetic Sequences. Objective To find specified terms and the common difference in an arithmetic sequence. To find the partial sum of a arithmetic.
Homework Questions. Number Patterns Find the next two terms, state a rule to describe the pattern. 1. 1, 3, 5, 7, 9… 2. 16, 32, 64… 3. 50, 45, 40, 35…
Section 12-1 Sequence and Series
Review of Sequences and Series. Find the explicit and recursive formulas for the sequence: -4, 1, 6, 11, 16, ….
Homework Questions. Geometric Sequences In a geometric sequence, the ratio between consecutive terms is constant. This ratio is called the common ratio.
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