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 #