Final answer:
To find the sixth term, multiply the second term (-1/2) by (-5/2) five times.
Step-by-step explanation:
To find the sixth term, we need to determine the pattern in the given terms. The first term is 1/10 and the second term is -1/2. The pattern is that each term is multiplied by -5/2. Therefore, to find the sixth term, we need to multiply the second term (-1/2) by (-5/2) five times.
1st term: 1/10
2nd term: -1/2
3rd term: (-1/2) x (-5/2) = 5/4
4th term: (5/4) x (-5/2) = -25/8
5th term: (-25/8) x (-5/2) = 125/16
6th term: (125/16) x (-5/2) = -625/32