Mathematics
Grade5
Easy
Question
Find the relationship between these two patterns.
A: 4, 12, 20, 28, 36, ...
B: 6, 14, 22, 30, 38, ...
- Pattern B is two less than Pattern A
- Pattern B is two times more than pattern A
- Pattern B is two more than Pattern A
- Pattern B is half of pattern A
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 two series of numbers that are 4, 12, 20, 28, 36, ... and 6, 14, 22, 30, 38, ... and we have to find the relationship between these two patterns.
So here first we will try to find what number is added or subtracted and then we will compare the rules.
The correct answer is: Pattern B is two more than Pattern A
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 4, 12, 20, 28, 36, ... and 6, 14, 22, 30, 38, .... Now looking at this pattern we can identify that the number is added from each and hence the order is ascending.
The first series follows adding 8 to the previous term, which is:
4 + 8 = 12
12 + 8 = 20
The second series also follows adding 8 to the previous term, which is:
6 + 8 = 14
14 + 8 = 22
So the rule for the given patterns is adding 8. But as both the patterns are different so the difference is pattern B is two more than Pattern A.
Here we were given two number series and we were supposed to find what is the relationship between both 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. Here the relationship is pattern B is two more than Pattern A.
