Question

Look at the hexagonal numbers. Use finite differences to determine which function represents the pattern.
The pattern is 1, 6, 15, 28, 45
A. f(x) = 2x2 – x
B. f(x) = 2x – 6
C. f(x) = 2x2 – 2x
D. f(x) = x2 – 6

Answer 1

Answer: A

Step-by-step explanation: just put 1 in x in each one then on to the next number.

For Ex:

2(1)^2 - (1) = 1

2(2)^2 - (2) = 6

Answer 2

The function f(x) = 2x² - x representing the pattern 1, 6, 15, 28, 45 option (A) f(x) = 2x² - x is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The pattern is 1, 6, 15, 28, 45

After analyzing the pattern we can see:

Using finite differences

1 = 2(1)² - 1

6 = 2(2)² - 2

15 = 2(3)² - 3

15 = 2(4)² - 4

15 = 2(5)² - 5

The general form of the function:

f(x) = 2x² - x

Thus, the function f(x) = 2x² - x representing the pattern 1, 6, 15, 28, 45 option (A) f(x) = 2x² - x is correct.

Learn more about the function here:

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