Question

Solve how you found the 6th term of this pattern: 25, 75, 225, 675,.... and please determine if it’s arithmetic or geometric ! Please answer this !!

Answer 1

Geometric, 6075

Explanation:

It is geometric since it is involving multiplication/division.

Use an explicit formula.

a(n) = 25 * (3)^n-1

Now plug in 6 for n.

a(n) = 25 * (3)^5

a(n) = 25 * 243

a(n) = 6075

The sixth term is 6075.