What is a Cubic Number Sequence?
A cubic number sequence is a sequence of numbers in which each number is the cube of the previous number. In other words, each number in the sequence is obtained by multiplying the previous number by itself twice. The general form of a cubic number sequence is:
n3, (n+1)3, (n+2)3, (n+3)3, ...
Where n is the starting number of the sequence.
Study Guide
Here are the key concepts and formulas you need to understand for the cubic number sequence:
- Cube of a Number: The cube of a number is obtained by multiplying the number by itself twice. For example, the cube of 2 is 23 = 2 x 2 x 2 = 8.
- Finding the Next Term: To find the next term in a cubic number sequence, you simply cube the next consecutive number. For example, if the sequence starts with 1, the next term would be 23 = 8, then 33 = 27, and so on.
- General Formula: The general formula for the nth term of a cubic number sequence starting from n is n3.
- Using the Formula: To find any specific term in the sequence, you can use the general formula n3 and substitute the appropriate value for n.
- Pattern Recognition: Look for patterns in the sequence to help you identify the next term or to check your calculations.
Now that you understand the basics of cubic number sequences, you can practice solving problems and identifying patterns in these sequences.
Good luck with your studies!
[Cubic Number Sequence] Related Worksheets and Study Guides:
.◂Math Worksheets and Study Guides Eighth Grade. Real numbers
Study Guide
Real numbers 
Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers Worksheet/Answer key
Real numbers
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
The Number System
Know that there are numbers that are not rational, and approximate them by rational numbers.
Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number. [8-NS1]
Expressions and Equations
Work with radicals and integer exponents.
Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational. [8-EE2]