Arithmetic Sequences and Series

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

The common difference (d) is the constant amount that each term increases or decreases by in an arithmetic sequence.

The nth term (a_n) can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

The 10th term is 39.

The sum (S_n) of the first n terms can be calculated using the formula: S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

The 15th term is 46.

The common difference is 5.

The next term is 14.

The 5th term is 18.

A sequence is arithmetic if the difference between consecutive terms is constant.