Final: The Staircase

Part of the Exponentials, Logs & Sequences section of Coddy's Algebra 2 journey. Lesson 49 of 49.

A staircase is built from blocks. The first step uses 4 blocks, and each step uses 3 more than the one before. Which step uses 64 blocks?

This is the last problem of Algebra 2: congratulations on reaching the end of the course.

Challenge

The first step of a staircase uses 4 blocks, and each step uses 3 more than the one before. Which step n uses 64 blocks? On the blank board, write an n = ... line that works out the step number, then a line with its value.

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

Test yourself

This lesson includes a short quiz. Start the lesson to answer it and track your progress.

All lessons in Exponentials, Logs & Sequences

1Exponential Functions

Repeated Multiplying Growth or Decay Drawing Growth Drawing Decay Recap: Exponential Functions

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 InvestmentFinal: The Staircase

2Growth and Decay

Doubling Halving Growing by a Percent Losing a Percent 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 Terms Recap: 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