** What is the general rule for 4 7 10 13 16 **

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 rule in the number sequence 4 7 10 13 **

The sequence 4, 7, 10, 13, …… is an arithmetic progression with a common difference of 3. Therefore, 21st term = 4 + 20 * 3 = 64. The first 21 terms are: 4, 7,10,13,16,19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, Good luck!

** What is the general term of the sequence 7 10 13 16 **

The nth term = 3n + 4. The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) – d. Therefore in your sequence, the difference d = 3, and the first term a(1) = 7.

** What is the 21st term of the given sequence 4 7 10 13 16 **

Solution: Given sequence is, 4,7,10,13,16,19,22…… b) The nth term of the arithmetic sequence is denoted by the term Tn and is given by Tn = a + (n-1)d, where “a” is the first term and d is the common difference. c) 21st term as: T21 = 4 + (21-1)3 = 4+60 = 64. Question 2: Consider the sequence 1, 4, 16, 64, 256, 1024…..

** What is the 25th number in the pattern 4 7 10 13 16 **

Arithmetic sequences

4,7,10,13,16,19,22,25,28,31,34…

** 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,…).

** How do you find the general rule of a sequence **

And a one minus d as the second. Term. This is then our shortcut method.

** What is the 9th term of the sequence 4 7 10 13 **

Given: The given series is 4, 7, 10, 13 …… ∴ 9 th term of AP is 28.

** What is the sigma notation for the series 7 10 13 16 **

The sigma notation for the series is ∑ n = 1 4 ( 3 n + 4 ) .

** What is the nth term for 1 4 7 10 13 **

Answer: nth-term an = 3n – 2.

** What is the next term in the sequence 4 7 10 13 16 19 **

Arithmetic sequences

4,7,10,13,16,19,22,25,28,31,34…

** What is the common difference of the arithmetic sequence 1 4 7 10 13 16 19 22 **

3

1, 4, 7, 10, 13, 16, 19, 22, 25, … This sequence has a difference of 3 between each number.

** What is the 20th term in the sequence 4 7 10 13 16 19 **

Instant Text Answer

Plugging these values into the formula, we get: $T_{20} = 4 + (20-1)(3)$ $T_{20} = 4 + 19(3)$ $T_{20} = 4 + 57$ $T_{20} = 61$ So, the 20th term of the sequence is $\boxed{61}$.

** 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 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 rule for 1 4 9 16 **

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

** 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 follows the sequence 4 6 9 6 14 6 **

19

Answer and Explanation:

= 6 a 3 = 4 + 5 = 9 a 5 = 9 + 5 = 14 a 7 = 14 + 5 = 19 So, the series becomes 4 , 6 , 9 , 6 , 14 , 6 , 19 , 6 , 24 , 6 , . . . Hence, 19 is the next number.

** What is 2 4 6 8 10 12 in sigma notation **

Summary: The series in summation notation, 2 + 4 + 6 + 8 + 10 + 12 is ∑6i=12i ∑ i = 1 6 2 i .

** What is the general form of sigma notation **

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .

** What are the next 2 terms in the sequence 1 4 7 10 13 **

1, 4, 7, 10, 13, 16, 19, 22, 25, … This sequence has a difference of 3 between each number.

** What is the formula for general term **

The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d.

** What is the common difference of 1 4 7 10 13 16 **

3

1, 4, 7, 10, 13, 16, 19, 22, 25, … This sequence has a difference of 3 between each number.

** What is the common difference of the arithmetic sequence 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”.

** What is the pattern rule for 3 6 10 15 **

– the nth term is. 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.