Arithmetic Sequence Nth Term Math

The difference between consecutive terms.

Arithmetic sequence nth term math. For example take the arithmetic sequence 3 9 15 21 27. What is the formula for the nth term of an arithmetic sequence. A 16 15 2. A 3 3 20 a 5.

A n a 1 n 1 d where a 1 is the first term and d is the common difference. 1 11 a 2. Now add 6 to the preceding two terms and divide by 3 to get the average of the first three terms which is the value of the 4th term. Add to that the product of n 1 and d the difference between any two consecutive terms.

The calculator will generate all the work with detailed explanation. Scroll down the page for more examples and solutions. It is a sequence in which there is a common difference between consecutive terms. 4 7 10 13.

Also it can identify if the sequence is arithmetic or geometric. Using the general term formula we can easily find any term of the sequence. So the third term is 6. A 1 3.

D 6 because the difference between consecutive terms is always 6. The number of terms. In an arithmetic sequence the difference between two consecutive terms is always the same. Find the sum of the first 30 terms of the following sequence.

3 1 1 3 5 7 9. A 16 30. Therefore to find the term. The first term and second term average out to 6.

Nth term formula is. Is this an arithmetic sequence. Then find the indicated term. The given arithmetic sequence is.

A 4 6 find the indicted term in each arithmetic sequence. An a 1 n 1 d from the given a 1 0. 4 7 10 13. The following diagrams give an arithmetic sequence and the formula to find the n th term.

This too is 6 18 3 all terms after the 2nd are 6 including the 39th. The given arithmetic sequence is. What is an arithmetic sequence. To find the nth term of an arithmetic sequence start with the first term a 1.

Tip the common difference is always the difference between any term and the term that proceeds that term. Term of an arithmetic or geometric sequence. N 16. A 2 8 2 a 1.

0 2 4 6 8 10 12 14. The main purpose of this calculator is to find expression for the n th term of a given sequence. Nth term means any term in the sequence like 20th or 15th or 28 like that. A 16 0 16 1 2.

The formula to find nth term is an a n 1 d question 1. Thus the answer is 6. The formula for finding the term of an arithmetic sequence is as follows.