7 and 105 are successive terms in a geometric sequence. what is the term following 105?

7 and 105 are successive terms in a geometric sequence. what is the term following 105?

Geometric sequences are set up such that the next term in the sequence equals the prior term multiplied by a constant. Therefore, we express the relationship in the following equation:
7k = 105 where k is the constant

Type this equation into our search engine and we get:
k = 15

The next term in the geometric sequence after 105 is found as follows:
105*15 = 1,575