Geometric Sequences

250, 50, 10... (Next term of the geometric sequence)

What is the next term of the geometric sequence? 2, 10, 50...

What is the next term of the geometric sequence? 5, 10, 20...

What is the next term of the geometric sequence? 2, 6, 18...

What is the next term of the geometric sequence? 192, 48, 12...

Given: a(1) = 20, $$a(n)=a(n−1) \cdot \frac{3}{2}$$ . What is the 3rd term in the sequence?

$$c\left(n\right)=-6\left(-\frac{1}{3}\right)^{n-1}$$ . What is the 2nd term in the sequence?

b(1) = 15 b(n) = b(n−1)⋅(−3)​ What is the 4th term in the sequence?

$$c\left(n\right)=-\frac{9}{2}\left(-\frac{4}{3}\right)^{n-1}$$ . What is the 2nd term in the sequence?

b(1) = −500 b(n) = b(n−1) ⋅ 54​​ What is the 3rd term in the sequence?