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Recap: Arithmetic Sequences

Part of the Exponentials, Logs & Sequences section of Coddy's Algebra 2 journey. Lesson 36 of 46.

Challenge

The sequence -2, 2, 6, ... has the rule $a\left(n\right) = -2+\left(n-1\right)\cdot 4$ . The board asks which term equals 94. Solve for n.

Try it yourself

a\left(n\right) = 94

Get $n$ alone

Given $a\left(n\right) = -2+\left(n-1\right)\cdot 4$

All lessons in Exponentials, Logs & Sequences

1Exponential Functions

Repeated Multiplying Drawing Growth Doubling Drawing Decay

4Meet the Logarithm

What a Log Is Reading a Log Logs of Fractions From Log to Power Recap: Logarithms

7Log Equations

Combine, Then Undo A Difference of Logs Same Log Both Sides A False Answer Recap: Log Equations

10Final Challenges

Final: Same Base Final: Log It Final: Two Logs Final: The Investment Final: The Staircase

2Growth and Decay

Growing by a Percent How Long Until?Recap: Growth and Decay

5Log Rules

The Product Rule The Quotient Rule The Power Rule Into One Log Recap: Log Rules

8Arithmetic Sequences

The nth Term Which Term?Adding the TermsRecap: Arithmetic Sequences

3Same-Base Equations

Matching Powers Rewriting the Base An Expression Upstairs Fractions and Negatives Recap: Same Base

6Solving with Logs

Take the Log Isolate the Power First Base e Undoing ln Recap: Solving with Logs

9Geometric Sequences

Multiply Each Time Finding the Ratio Geometric Sums Forever Sums Recap: Geometric Sequences