Question

State whether the given list of numbers is a sequence or not : $-52,53,-54,...$ If yes, find out the next number in the list.

Answer 1

Yes, the given list of numbers is a sequence because each new number in the sequence is formed using the rule $(-1{)}^n{5}^{n+1}$. The next number in the list is thus $(-1{)}^n{5}^{n+1}$ for $4$, i.e. $5^5$.