## Artithmetic Sequences

Arithmetic sequences possesses the simple recursion formula:

a

_{n}= d + a_{n-1 }where d is a fixed number known as the common difference

Sum of the First n Terms:

For geometric
sequence {a

_{n}} with first term a_{1}and common difference d, the following applies for every positive integer n:Example:

Find the sum of the first ten terms of the arithmetic sequence: 5, 1, −3, −7, ...

Solution:

Find the sum of the first ten terms of the arithmetic sequence: 5, 1, −3, −7, ...

Solution: