7.2k views
2 votes
What is the next term in the sequence below? -324,108,-36,12,...

2 Answers

5 votes
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
User Irfan
by
8.0k points
2 votes
The next term is the sequence is -4
User Fusyion
by
8.0k points