# If the common difference between the terms of the sequence is -15, what term follows the term that has the value 15?

##### 1 Answer

Jun 5, 2015

**The term following 15, for an arithmetic progression with a common difference of -15 would be 0.**

Briefly, an arithmetic progression is a series of numbers which start with a base value and progresses with each succeeding term, differing from the preceding term by a common difference.

A generic series will be:

where

#a# is the 1st term#d# is the common difference#a+(n-1)*d# is the#n^(th)# term of the sequence

Now, if

So, for a series with 15 as 1st term and common difference -15, the 2nd term would be,

If 15 is any term along the series and not necessarily the 1st term, then the next term would again be,