Question

Given a1=64, r=1/2 find the next three terms and the explicit formula.

Answer 1

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), in this case a=64 and r=1/2 so

a(n)=64(1/2)^(n-1)

So the 2nd, 3rd, and 4th terms are:

32, 16, and 8