The general term for the sequence 2, 4, 8, 16, 32 is 2n, where n starts from 1.
This is an exponential sequence where each term is obtained by multiplying the previous term by 2. If we break it down:
- When n = 1: 21 = 2
- When n = 2: 22 = 4
- When n = 3: 23 = 8
- When n = 4: 24 = 16
- When n = 5: 25 = 32
As you can see from the pattern, each term doubles the previous one, confirming that this sequence can be represented by the formula 2n.