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Ch.9 Sequences and Series Section 3 – Geometric Sequences
Definition: Geometric Sequence Has a starting value of a and a common ratio r.
Formulas Recursive: initial condition recursive formula Explicit:
EXamples Is the sequence a geometric sequence? 1.) 3,6,12,24,48,… 2.) 3,6,9,12,15
EXamples Is the sequence a geometric sequence? 1.)
EXample What is the 10 th term of the geometric sequence? 4,12,36,… What is the second and third term in this sequence? 2, __, __, -54,…
Definition: Geometric Mean In a geometric sequence, the square of the middle term of any three consecutive terms is equal to the product of the other two terms. So,
EXample What are the possible values of the missing term? 48, __, 3,…
Essential Question: What is a sequence and how do I find its terms and sums? How do I find the sum & terms of geometric sequences and series?
A geometric sequence is a list of terms separated by a constant ratio, the number multiplied by each consecutive term in a geometric sequence. A geometric.
Notes Over 11.3 Geometric Sequences
11.3 – Geometric Sequences.
Geometric Sequences and Series
Sequences and Series (T) Students will know the form of an Arithmetic sequence. Arithmetic Sequence: There exists a common difference (d) between each.
Sequences and Series It’s all in Section 9.4a!!!.
Section 11-1 Sequences and Series. Definitions A sequence is a set of numbers in a specific order 2, 7, 12, …
Ch.9 Sequences and Series
Chapter 8: Sequences and Series Lesson 1: Formulas for Sequences Mrs. Parziale.
Sequences Definition - A function whose domain is the set of all positive integers. Finite Sequence - finite number of values or elements Infinite Sequence.
Review for the Test Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence 3, 9, 15,……… Explicit Formula ______________________________.
13.3 – Arithmetic and Geometric Series and Their Sums Objectives: You should be able to…
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.
Aim: What is the geometric sequence?
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…
13.4 Geometric Sequences and Series Example:3, 6, 12, 24, … This sequence is geometric. r is the common ratio r = 2.
Unit 5 – Series, Sequences, and Limits Section 5.2 – Recursive Definitions Calculator Required.
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