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Unit 6, Sec 3 - Arithmetic Sequences
Transcript of Unit 6, Sec 3 - Arithmetic Sequences
Sec 4: Arithmetic Sequences
Ex 2: Quality Core Practice
What do you think each of these variables represent?
The nth Term of an Arithmetic Sequence:
The nth term of an arithmetic sequence in which the first term and the common difference are given has the formula
1. 5, -13, -31, ...
2. 12, 3, -6, ...
Ex 3: Using the Arithmetic Formula
A. Find the explicit formula for each sequence.
B. Find the 15th term using the explicit formula.
If the 6th term is 12 and the common difference is 8, can you write an equation for the arithmetic sequence and then find the 50th term?
Ex 1: State the common difference and give the next 3 terms.
A. 5, -13, -31 ...
B. 9, 16, 23, 30 ...
This is called an EXPLICIT FORMULA
because it finds an EXPLICIT term.
(It finds the exact term you want).
Do Now - You have 1 minute to work at a Level 0.
Have a calculator!!!!
You just bought a car and your first car payment is $122. Each day that you are late will add an additional $5 per day. How much will you owe if you pay your car payment 11 days late?