Arithmetic sequence

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. In other words, each term is obtained by adding a fixed amount to the previous term. The fixed amount is called the common difference (d).

For example, the sequence 3, 7, 11, 15, 19 is an arithmetic sequence with common difference 4. To find the next term in the sequence, we add 4 to the previous term. So, the next term would be 19 + 4 = 23.

The nth term of an arithmetic sequence can be found using the formula:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the number of the term, and d is the common difference.

For example, in the sequence 3, 7, 11, 15, 19, we can use the formula to find the 6th term:

a6 = a1 + (6-1)d = 3 + 5(4) = 23.

So the 6th term in the sequence is 23.