The series 2, 4, 8, 16, 32 is?

The series 2, 4, 8, 16, 32 is a geometric progression, also known as a geometric sequence.

In this series, each term after the first is obtained by multiplying the previous term by a constant factor, which in this case is 2. Specifically:

• 2 × 2 = 4
• 4 × 2 = 8
• 8 × 2 = 16
• 16 × 2 = 32

This pattern continues indefinitely, meaning the next term would be 32 × 2 = 64. The general formula for the nth term of a geometric series can be expressed as:

a_n = a₁ × r^(n-1)

where a₁ is the first term, r is the common ratio, and n is the term number. In our series, a₁ = 2 and r = 2.