# The first three terms of an arithmetic sequence are 2k+3, 5k-2 and 10k-15, how do you show that k =4?

##### 1 Answer

May 17, 2016

Use the definition of an arithmetic sequence to set up a system of two equations and two unknowns and solve.

#### Explanation:

Since the sequence is arithmetic, there is a number

Alternatively, you could have set

It's not necessary to find, but the common difference