Hi my class is doing a unit on patterns with algebraic expressions. And i need to find a difficult expression
Figure# Term value
1 8
2 27
3 64
4 125
what is the algebraic expression and how did u do it? thank you.
Math-Nick
It looks like a progression from 2-5, with each number being cubed.
2^3 = 2 * 2 * 2 = 8
If you let n stand for the number in your first column, then these would be the algebraic expressions.
(n + 1)^3 = 8
(n + 1)^3 = 27
And so on.
I hope this helps.
insta@playboimadden__
To find the algebraic expression for the given pattern, we need to analyze the relationship between the figure number and the corresponding term value. Here's how you can do it step-by-step:
Step 1: Look for a pattern in the term values. Notice that the term values are increasing rapidly and are perfect cubes (cube numbers). For example, 8 = 2^3, 27 = 3^3, 64 = 4^3, 125 = 5^3.
Step 2: Identify the pattern in the term values. In this case, the term value appears to be the cube of the figure number.
Step 3: Write the algebraic expression. Let's use "n" to represent the figure number. Since the term value is the cube of the figure number, the expression would be n^3.
So, the algebraic expression for this pattern is n^3.