# How do you find the nth term of the sequence #-1,2,-3,4,-5,6,...#?

##### 1 Answer

Aug 14, 2017

The

#### Explanation:

We have a sequence:

#-1,2,-3,4,-5,6,...#

Firstly we note that the absolute value of the terms increment by unity. so we can denote the absolute value as:

# 1,2,3,4,5,6 , ... #

So we can denote the absolute value of the

Secondly, we note that the signs of each term alternates, and we start with a negative term

# -,+,-, +, ... #

And we can achieve the correct sign for the

Hence we can denote the

# u_n = (-1)^n n #