** What is the rule for the sequence 2 5 10 17 **

Answer and Explanation:

⇒ 2 = 1 2 + 1. ⇒ 5 = 2 2 + 1. ⇒ 10 = 3 2 + 1. ⇒ 17 = 4 2 + 1.

** What is the general rule of 2 5 10 17 26 **

What is the nth term of the sequence 2, 5, 10, 17, 26… This is the required sequence, so the nth term is n² + 1.

** What is the general rule of sequence formula **

An arithmetic sequence is a sequence where the difference between each successive pair of terms is the same. The explicit rule to write the formula for any arithmetic sequence is this: an = a1 + d (n – 1)

** 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. Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, …

** What is the missing term in the sequence 2 5 10 17 37 **

Hence the missing number is: 5×5+1 =26.

** What is the general rule for the sequence 2 6 10 14 18 22 **

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. So in our example a1=2 and d=4 so an=2+(n−1)4=2+4n−4=4n−2.

** What is the general rule of 2 6 10 14 18 **

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. So in our example a1=2 and d=4 so an=2+(n−1)4=2+4n−4=4n−2.

** What is the general rule of 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,…).

** What is the general term of 2 4 8 16 **

Summary: The general term for the sequence 2, 4, 8, 16, 32, . . . is an = 2n.

** What is the general rule of the sequence 1 3 5 7 **

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.

** What is the general rule that defines the sequence 5 6 7 8 9 10 **

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 1 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n – 1 ) . This is the formula of an arithmetic sequence.

** What is the missing number in the sequence 0 2 5 10 17 **

28 is the missing number in the sequence.

** What are the next four terms of the sequence 2 5 10 17 26 **

2, 5, 10, 17, 26, 37, 50, 65, ___ No worries!

** What rule that correctly describes the sequence 2 5 8 11 14 17 **

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 3 to the previous term in the sequence gives the next term.

** What is the general rule of the sequence 2 5 8 11 14 **

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. Thus, to find the next number in the sequence, we simply add 3 to 14.

** What is the rule followed in the pattern of 2 5 8 11 14 17 20 **

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 3 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n – 1 ) .

** 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.

** What is the rule of pattern 5 9 13 17 21 **

Answer and Explanation:

The sequence is 5 , 9 , 13 , 17 , ⋯ . As the difference between consecutive terms is equal, the sequence is an arithmetic progression. The first term of the AP is 5 and the common difference is 4. So, the general term of the AP is a n = 5 + 4 ( n − 1 ) .

** What is the general term of 2 5 8 11 **

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. Thus, to find the next number in the sequence, we simply add 3 to 14.

** What is the rule of 1 1 3 3 5 5 7 7 9 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.

** Which is the general term of the sequence 5 9 13 17 21 **

Answer and Explanation:

The sequence is 5 , 9 , 13 , 17 , ⋯ . As the difference between consecutive terms is equal, the sequence is an arithmetic progression. The first term of the AP is 5 and the common difference is 4. So, the general term of the AP is a n = 5 + 4 ( n − 1 ) .

** What is the general rule in the given sequence 5 11 17 23 and 29 **

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 6 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n – 1 ) . This is the formula of an arithmetic sequence.

** What is the missing number in the series 0 2 3 5 8 10 15 17 24 26 **

35

So, missing term = 24 + 11 = 35.

** What is the 9th term in the sequence 2 5 10 17 26 37 50 **

2, 5, 10, 17, 26, 37, 50, 65, 82, 101,122,145,170.

** What is the next term in the pattern 15 10 14 10 13 10 12 10 **

Hence next number is 12

what is the next number of given series 888,1332,1998,2997 …