 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

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

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

= 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.