How to find the nth term of the sequence of 5 9 13 17 and 21?

What is the nth term for the sequence 5 9 13 17 21

4n+1

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 nth term of the sequence 1 5 9 13 17

∴tn=4n−3.

What is the next number in the sequence a 5 9 13 17 21 25

29

So the next number in the sequence = 25 + 4 = 29.

What is the rule of pattern 5 9 13 17

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 common difference of the sequence 5 9 13 17 21

{1,5,9,13,17,21,25,…} is an arithmetic sequence with common difference of 4 .

What is the common difference of 5 9 13 17

4

And, we know that the difference between the consecutive numbers is 4. Hence, we have found the common difference of the arithmetic sequence 5, 9, 13, 17,…. The common difference is 4.

What is the common difference of the sequence 1 5 9 13 17 21

4

{1,5,9,13,17,21,25,…} is an arithmetic sequence with common difference of 4 .

What would be the nth term of the sequence 5 13 21 29 37

The nth terms: 5,13,21,29,37,45,53,61…

How do you find the nth term

Right. And that number is going to give us the number we need to add on to the five n to get the nth term so to subtract. Five will be minus three. So that's what we put in here.

What is the rule used in sequence 3 5 8 13 21

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 .

What is the nth term formula

11 times 6 is 66 plus 5 is 71.. So that is the value of the 12 term and we could check our answer to make sure that we have the right answer. If we were to continue the sequence.

What is common difference in the sequence 5 9 13 17 21

{1,5,9,13,17,21,25,…} is an arithmetic sequence with common difference of 4 .

Which of the following is the common difference in the arithmetic sequence 5 9 13 17

4

For example, in the arithmetic sequence 1, 5, 9, 13, 17, …, the difference is always 4. This is called the common difference. If the first term of the sequence is a and the common difference is d, then the arithmetic sequence can be written as a, a+d, a+2d, a+3d, …, a+(n−1)d, …

What is the nth rule

The nth term of an arithmetic sequence is given by. an = a + (n – 1)d. The number d is called the common difference because any two consecutive terms of an. arithmetic sequence differ by d, and it is found by subtracting any pair of terms an and. an+1.

What is the nth term of 7 11 15 19 23

4n + 3

The original sequence we wanted: 7, 11, 15, 19, 23, … To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

Which is the nth term of the sequence 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.

What is the nth term of 3 5 7 9 11

Arithmetic Progressions

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 .

What is the nth term of 5 8 11 14

The nth term of an A.P. 5, 8, 11, 14, …… is 68.

What is the sequence 1 2 3 5 8 13 21 34

The Fibonacci sequence

The Fibonacci sequence is a series of numbers where a number is the addition of the last two numbers, starting with 0, and 1. The Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…

What is the sequence 1 2 3 4 5 8 13 21 34

The Fibonacci sequence

The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 … Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.

What is the common difference of 5 9 13 17 21

4

{1,5,9,13,17,21,25,…} is an arithmetic sequence with common difference of 4 .

How to calculate nth term

If we were to continue the sequence. The next number will be 35. And then if we add 6 to that it's going to be 41 then 47 53 59 66 and then that's supposed to be 65.

What is the nth term of 3 7 11 15 19

The series is 3, 7, 11.. each of these is 1 below a multiple of 4. 41- 1 =3 42- 1=7 and so on. So the nth term would be 4n-1 ….

What is the nth term rule for this sequence 9 11 13 15

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 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 ) .

How do you find the nth term of 6 11 16 21 and 26

Answer: The next term will be 31. So next number will be 26+5 = 31. Mark as brainliest to get more points.