# How do you find the next three numbers in a sequence?

In order to find the next three numbers in a sequence, you first need to identify the pattern in the sequence. To do this, observe the numerical intervals between the numbers in the sequence and look for a repeating pattern.

Once you’ve identified the pattern, you can then use that pattern to find the next three numbers in the sequence. For example, if the pattern is adding two to each number in the sequence, then to find the next three numbers, you would simply add two to the number which precedes them in the sequence.

So if the sequence is 2, 4, 6, 8, then the next three numbers in the sequence would be 10, 12 and 14.

## What are the 3 sequences?

The three sequences are Primary, Secondary, and Tertiary. Primary sequences are the most basic and essential items in any particular order, such as the sequence of numbers for counting or for providing instructions—for example, 1,2,3.

Secondary sequences refer to patterns of behavior or activities that follow the primary sequence, such as activities to reinforce a skill or behavior—for example, 1,2,3,1,2,3. Tertiary sequences involve more complex or involved actions that follow the primary and secondary sequences—for example, 1,2,3,1,2,3,1,2,3.

## What is the formula to find next term?

The formula to find the next term in a given sequence of numbers or terms is often dependent on the type of sequence. If the sequence is ‘arithmetic’, the next term can be calculated using the formula.

Next Term = Current Term + Common Difference.

For example, if the sequence is 2, 5, 8, 11, the current term is 11, the common difference is 3, so the next term would be 14 (11 + 3).

If the sequence is ‘geometric’, the next term can be calculated using the formula

Next Term = Current Term * Common Ratio.

For example, if the sequence is 2, 6, 18, 54, the current term is 54, the common ratio is 3, so the next term would be 162 (54 * 3).

## How do you find the first 3 terms?

The first three terms of a sequence can be found by looking at the beginning of the sequence. For example, if a sequence is “2, 4, 6, 8, 10…” then the first three terms would be 2, 4, and 6. Another way to find the first three terms is to look at a description or formula of the sequence.

For example, if the sequence is described as “form the sequence by adding 4 to the previous term”, then the first three terms would be 0, 4, and 8 (since 0+4=4 and 4+4=8). If the sequence has a formula such as an=n2+1, then the first three terms would be 1, 2, and 5 (since 12+1=2, 22+1=5, etc.

).

## What is an expression with 3 terms?

An expression with three terms is an algebraic expression that consists of three variables, constants, coefficients, or combinations of them connected by operation symbols such as +, -, x, ÷, etc. For example, the expression 3x – 5y + 7 is an expression with three terms – 3x, -5y, and 7.

Here, the three terms are connected by subtraction and addition.

## What are the next two terms in the pattern 3 6 5 10?

The next two terms in the pattern 3 6 5 10 are 12 and 15. The pattern is derived by taking the difference between consecutive terms and adding that number to the previous term. The difference between 3 and 6 is 3, between 6 and 5 is -1, and between 5 and 10 is 5.

Applying that pattern to the next two terms yields 12 (10 + 5) and 15 (12 + 3).

## What is the recursive formula for 1 3 6 10?

The recursive formula for 1 3 6 10 is an arithmetic sequence that follows the rule An = A1 + d (n-1), where A1 = 1, d = 2, and n = 4. The recursive formula for 1 3 6 10 is 1 + 2(n – 1), where n is the number of added terms in the sequence.

Therefore, the recursive formula for 1 3 6 10 is 1 + 2(4 – 1), which simplifies to 1 + 2(3), or 7.

## How many terms are there in the sequence 3 6 9 12 1111?

There are six terms in the sequence 3 6 9 12 1111. This sequence can be described as an arithmetic sequence, which is a sequence of numbers where each successive number is obtained by adding a particular number, also known as the common difference, to the previous one.

In this case, the common difference is 3 (3+3=6, 6+3=9, and so on).

## How do you find the rule of a pattern 1 3 6 10 15?

In order to find the rule for the pattern 1 3 6 10 15, you need to look for a pattern in the numbers. In this particular pattern, if you look at the differences between each number it is increasing by 3 each time (3-1 = 2, 6-3 = 3, 10-6 = 4, 15-10 = 5).

Therefore, the rule for this pattern is to add 3 to the previous number. So the next number in the pattern will be 15+3=18. To continue the pattern, you would add 3 to 18 to get 21, then add 3 to 21 to get 24, and so on.