Mathematics

Grade5

Easy

Question

# Stacy and Justin created number patterns. Stacy's rule is "Add 2". Justin's rule is "Add 4". Both

patterns start at 0. True about the third number in each of their patterns is?

- The third number in both patterns is 4.
- The third number in both patterns is 8.
- The third number in Justin's pattern is double the number in Stacy's pattern.
- The third number in Justin's pattern is 2 more than the third number in Stacy's pattern.

Hint:

### In mathematics, a number pattern is a series of integers that occur in a specific order. Patterns often describe the inverse relationship between numbers. Patterns can also be used to describe numerical sequences. Here we have given that Stacy and Justin created number patterns. Stacy's rule is "Add 2". Justin's rule is "Add 4". Both patterns start at 0.

So here first we will try to find the series and then find the correct sentence related to the third term.

## The correct answer is: The third number in Justin's pattern is double the number in Stacy's pattern.

### So as we know that a pattern or sequence in a series of numbers is called a number pattern. Generally, this pattern builds a connection between all integers.

Some numerological pattern types are:

There are two typical patterns for number sequences:

- Arithmetic Sequences
- Geometric Sequences

The following are some examples of Number Patterns' unique sequences:

- Square Numbers
- Cubic Sequence
- Triangular Numbers
- Fibonacci Numbers

We have been given that Stacy and Justin created number patterns. Stacy's rule is "Add 2". Justin's rule is "Add 4". Both patterns start at 0.

So the series will be:

Pattern 1:

0 + 2 = 2

2 + 2 = 4

4 + 2 = 6

Pattern 2:

0 + 4 = 4

4 + 4 = 8

8 + 4 = 12

So the series is formed, and we can identify that the third number in the second pattern is twice of the third number in first pattern.

Here we were given two rules and we have to find the relation between the third term of both the series. There are numerous different sorts of number patterns. They could be a series of even or odd numbers, multiples of a specific number, ascending or descending, etc. The third number in Justin's pattern is double the number in Stacy's pattern.