Mathematics

Grade5

Easy

Question

# Identify the common difference.

3, 7, 11, 15, ...

- 6
- - 4
- 4
- 5

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 a series of 3, 7, 11, 15, ... and we have to find the common difference in between them.

## The correct answer is: 4

### 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

Common difference is the difference between two consecutive terms of an arithmetic progression. The formula to find the common difference of an arithmetic sequence is:

- d = a(n) - a(n - 1)

where a(n) is n^{th} term in the sequence, and a(n - 1) is the previous term (or (n - 1)^{th} term) in the sequence.

We have been given the series 3, 7, 11, 15, ...

d = 15 - 11 = 4

d = 11 - 7 = 4

So the common difference is 4.

Here we were given two number patterns and we have to find the series and then the common term in that. 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. So the common difference is 4 in the given term, where we used the formula of common difference, we can also solve manually by adding the numbers.