After the first term, each term in a sequence is k times the preceding term and p is the first term of the sequence. If the ratio of the seventh term to the third term is 16, what is a possible value of k?

Say the 3rd term is *a*. Then the 4th term is *ka*, the 5th term is (*k*^2)*a*, the 6th term is (*k*^3)*a*, and the 7th term is (*k*^4)*a*.

The question says that the ratio of the 7th term to the 3rd term, (*k*^4)*a* to *a*, is 16.

*k* = 2 or *k* = –2