9.4 Arithmetic and Geometric Sequences.notebook
Bellwork
Write an explicit formula and recursive formula for the sequence. 2, ­6, 18, ­54 . . .
January 28, 2016
9.4 Arithmetic and
Geometric Sequences
Objectives:
TSW: 1. Build a function using explicit and recursive formulas. Jan 24­2:06 PM
Nov 26­9:35 AM
Arithmetic:
Geometric:
A sequence that has a common difference
A sequence that has a common ratio.
Explicit Formula:
Explicit Formula:
Recursive Formula:
Recursive Formula:
a1 = first number
an = ( an­1 ) + d
Nov 26­9:35 AM
Nov 26­9:35 AM
Example 2: Edgar is getting better at math. On his first test he scores 50 points, and then he scores 53, 56, 59, and 62 on his next 4 tests. His scores increase arithmetically thereafter. If he takes 20 tests, how many points will he earn on the last test?
Nov 26­9:35 AM
Nov 26­9:35 AM
1
9.4 Arithmetic and Geometric Sequences.notebook
Example 3: The deer population is an area is increasing. This year, the population was 1.025 times last year's population of 2537. Assuming the population increases at the same rate for the next few years, write an explicit formula for the sequence. What will the deer population be for year four?
January 28, 2016
Arithmetic
Given the explicit formula: Given the recursive formula:
Write the recursive formula Write the explicit formula that describes the same that describes the same sequence:
sequence:
Nov 26­9:35 AM
Nov 26­9:35 AM
Geometric
Given the explicit formula: Given the recursive formula:
Write the recursive formula Write the explicit formula that describes the same that describes the same sequence:
sequence:
Nov 26­9:35 AM
Assignment
9.4 Worksheet
Dec 1­5:05 PM
2