The Secret to Arithmetic Sequences & Recursive Formulas Explained (Need to Know for Algebra 1)
Learn arithmetic sequences and recursive formulas step-by-step in this full Algebra 1 lesson! We’ll start with patterns, define common difference, test if a sequence is arithmetic, find the next terms, and then dive into recursive formulas. By the end, you’ll know how to read, write, and use recursive formulas with confidence.
This lesson is great for Algebra 1, Pre-Algebra, and 8th grade math students who want a clear breakdown of arithmetic sequences and recursive rules.
How to identify #arithmetic #sequences and write and use a #recursive #formula.
An arithmetic sequence is a numerical pattern that increases or decreases at a constant rate called the common difference. Each value in a sequence is called a term.
In other words, you add or subtract the same amount to each term. The amount that you add or subtract is "d" the common difference.
Recursive Formula:
a(1) = the first term
a(n) = a(n-1) + d
*the parenthesis can also be subscripts*
What does the formula mean?
Start with a(1), then add (or subtract) "d" to find the next term.
This video could work for #Algebra students who were absent, or in a flipped classroom.
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0:00 Intro to arithmetic sequences with tables & chairs example
0:50 Vocabulary: arithmetic sequence & common difference
2:02 Example 1: Is this arithmetic? (2, 4, 8, 16, 32)
3:05 Example 2: Fractions & arithmetic sequences
3:51 Example 3: Checking with negative fractions
4:30 Finding the next 3 terms (Example 1)
5:52 Finding the next 3 terms (Example 2)
6:27 Intro to recursive formulas explained
8:15 Example 1: Recursive formula, find first 3 terms
10:11 Example 2: Recursive formula, subtracting
11:07 Writing recursive formulas from a sequence (Example 1)
12:25 Writing recursive formulas (Example 2, decimals)
13:22 Wrap-up
#RecursiveFormulas #ArithmeticSequences #Algebra1 #MathHelp #DowMath