Answer:

For example:

0, 5, 10, 15, 20, 25, ...

Number pattern

Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.

To solve the problems of number pattern, we need first to find the rule being followed in the pattern.

To find out the rule, we need to see the first few numbers in the series.

Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.

Example 1:

· 11, 17, 23, 29, 35, 41, 47, 53

Example

In this pattern, we see that every term in the sequence has grown or increased by 6 or the difference between any two consecutive numbers is 6. So, we can get the next term by adding 6 to the previous term.

Example 2:

· 18, 15, 12, 9, 6, 3

Example

In this number pattern, we can see that every term in the sequence has reduced by 3 or 3 has been subtracted from every number compared to its previous one. So, we can subtract 3 from the previous term to get the next term.

In the above two examples, the number pattern is formed by a common difference in all its terms.

Step-by-step explanation:

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Answer:

1. 2n + 3

2. 5n + 4

3. 3n + -1

4. 5n + 2

5. 6n + 4

Step-by-step explanation:

Checking:

1. 9, 11, 13, 15

2n + 3

If n = 3, then 2n + 3 === 2(3) + 3 = 9

If n = 4, then 2n + 3 ====2(4) + 3 = 11

If n = 5, then 2n+  3 ====2(5) + 3 = 13

If n = 6 , then 2n+ 3 ====2(6) + 3 = 15

2. 9,14, 19, 24

5n + 4

If n = 1 , then 5n+ 4 ====5(1) + 4 = 9

If n = 2 , then 5n+ 4 ====5(2) + 4 = 14

If n = 3 , then 5n+ 4 ====5(3) + 4 = 19

If n = 4 , then 5n+ 4 ====5(4) + 4 = 24

3. -1, 2, 5, 8

3n + -1

If n = 0 , then   3n + -1==== 3(0) + (-1) = -1

If n = 1 , then  3n + -1 ==== 3(1) + (-1) = 2

If n = 2 , then  3n + -1 ==== 3(2) + (-1) = 5

If n = 3 , then  3n + -1 ==== 3(3) + (-1)  = 8

4. 22, 27, 32, 37

5n + 2

If n = 4 , then   ==== 5(4) + (2)  = 22

If n = 5 , then   ==== 5(5) + (2)  = 25

If n = 6 , then   ==== 5(6) + (2)  = 32

If n = 7 , then   ==== 5(7) + (2)  = 37

5.  10, 16, 22, 28

6n + 4

If n = 1 , then   ==== 6(1) + (4)  = 10

If n = 2 , then   ==== 6(2) + (4)  = 16

If n = 3 , then   ==== 6(3) + (4)  = 22

If n = 4 , then   ==== 6(4) + (4)  = 28

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