write a recursive rula and an explicit rule for each geometric sequence, and then find the next three terms.

2,8,32

Recursive rule

a_{n+1} = 4 * a_{n}

Explicit rule

a_{n} = 2 ^{(2n - 1)}

4th term = 2^{ (2n - 1)} = 2 ^{(2*4 - 1)} = 2 ^{(7) } = 128 = 4 * 32

5th term = 4 * 128 = 512

6th term = 4 * 512 = 2048