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What is the number Sequence rule?

Definition: An arithmetic sequence is a sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, … The number a is the first term, and d is the common difference of the. sequence. The nth term of an arithmetic sequence is given by. an = a + (n – 1)d.
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What is the general rule of the sequence 2 4 6 8?

Thus, the sequence of even numbers 2, 4, 6, 8, 10, ... is an arithmetic sequence in which the common difference is d = 2. It is easy to see that the formula for the nth term of an arithmetic sequence is an = a +(n −1)d.
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What is the pattern rule of this sequence 1 3 5 7 9 11?

The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1 . In general, the nth term of an arithmetic progression, with first term a and common difference d, is: a + (n - 1)d .
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What is the rule for 1 4 7 10 13?

If a sequence is formed by adding (or subtracting) the same number each time to get the next term, it's called an arithmetic sequence. For example, the sequence 1, 4, 7, 10, 13 . . . is an arithmetic sequence because 3 is being added each time to get the next term.
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What is the rule in the sequence 1 3 5 7 9?

The sequence that is given to us is 1, 3, 5, 7, 9, ... a5 - a4 = 9 - 7 = 2. Hence, from the above simplification we can see that the common difference is 2. Therefore, the general term for the sequence 1, 3, 5, 7, 9, . . . is 2n - 1.
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How to determine the rule for a sequence

What is the nth rule of 20 16 12 8?

Summary: An equation for the nth term of the arithmetic sequence. -20, -16, -12, -8, …is an=4n−24 a n = 4 n − 24 .
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What is the rule of sequence 2 3 8 13?

Fibonacci Numbers (Sequence):

1,1,2,3,5,8,13,21,34,55,89,144,233,377,... Fn=Fn−2+Fn−1 where n≥2 . Each term of the sequence , after the first two, is the sum of the two previous terms. This sequence of numbers was first created by Leonardo Fibonacci in 1202 .
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What is the rule for 2 5 10 17?

Odd numbers are added to the sun every alternate turn.
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What is the rule for 1 2 3 5 8 13?

What is the Fibonacci sequence? The Fibonacci sequence is a famous group of numbers beginning with 0 and 1 in which each number is the sum of the two before it. It begins 0, 1, 1, 2, 3, 5, 8, 13, 21 and continues infinitely.
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What is the term rule 5 8 11 14 17?

Sequence A: 5 , 8 , 11 , 14 , 17 , ... For sequence A, if we add 3 to the first number we will get the second number. This works for any pair of consecutive numbers. The second number plus 3 is the third number: 8 + 3 = 11, and so on.
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What is the rule for 3 5 7 9?

In an arithmetic sequence, the difference between consecutive terms is always the same. For example, the sequence 3, 5, 7, 9 ... is arithmetic because the difference between consecutive terms is always two.
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What is the complete number pattern 1 1 2 3 5 8?

The Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
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What is the general rule of 2 4 8 16?

1, 2, 4, 8, 16, 32, 64, 128, 256, ... This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2.
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What is the general rule for the sequence 1 3 6 10?

triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots). The term to term rule for the triangle numbers is to add one more each time: 1 + 2 = 3, 3 + 3 = 6, 6 + 4 = 10 etc.
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What is the rule used for sequence 1 2 2 3 3 4 4 5?

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number. So starting with the number 1/2 (with starting n = 1) the sequence goes on as follows : 1/2, 2/3, 3/4, 4/5, 5/6, 6/7…. So the very next number to 4/5 is 5/6.
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What is the general rule of the sequence 1 5 9 13?

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 to the previous term in the sequence gives the next term.
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What is the rule of 3 6 9 in math?

Let's summarize the divisibility rules: A number is divisible by 3 if the sum of its digits is divisible by 3. A number is divisible by 9 if the sum of its digits is divisible by 9. And a number is divisible by 6 if it is divisible by 2 (even number) and by 3.
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What is the Fibonacci rule?

The Fibonacci sequence is a set of integers (the Fibonacci numbers) that starts with a zero, followed by a one, then by another one, and then by a series of steadily increasing numbers. The sequence follows the rule that each number is equal to the sum of the preceding two numbers.
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What is the rule for 1 5 9 13 17?

1, 5, 9, 13, 17, 21, 25, 29, . . ., 4n+1, . . . In general, the terms of an arithmetic sequence with the first term a0 and common difference d, have the form an = dn+a0 (n=0,1,2,...).
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What is the rule for 2 6 10 14?

A sequence with general term an+1=an+d is called an arithmetic sequence, an=nth term and d=common difference. The general (nth) term for 2, 6, 10, 14, 18, 22, … is 4 and the first term is 2. If we let d=4 this becomes an=a1+(n−1)d. The nth or general term of an arithmetic sequence is given by an=a1+(n−1)d.
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What is the general rule of 4 7 10 13 16?

The common difference of the arithmetic sequence 4, 7, 10, 13, 16,… is 3. So, the correct answer is “4, 7, 10, 13, 16,… is 3”.
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What is the rule in the sequence 6 13 20 27?

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 7 to the previous term in the sequence gives the next term.
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What is a rule for the sequence 4 8 16?

A sequence in which the ratio between two consecutive terms is the same is called a geometric sequence. The geometric sequence given is 4, 8, 16, 32, ... Therefore, the nth term is an = 4(2)n - 1.
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What is the general rule of the sequence 2 5 8 11 14?

Answer and Explanation: The next number in the list of numbers 2, 5, 8, 11, 14, . . . is 17. Notice that the difference between each consecutive term in this sequence is 3. Therefore, this is an arithmetic sequence with a common difference of 3.
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What is the rule from the sequence 1 3 7 15?

The nth term of the sequence 1,3,7,15, … can be written as 2n 1.
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