A population with finite resources shows a logistic growth curve where the correct sequence of events will be: 

Asymptote in a logistic growth curve is obtained when:

1. K = N

2. K > N

3. K < N

4. The value of 'r' approaches zero

The logistic population growth is expressed by the equation:

1. $\frac{dN}{dt}=rN\left(\frac{N-K}{N}\right)$

2. $\frac{dt}{dN}=Nr\left(\frac{K-N}{K}\right)$

3. $\frac{dN}{dt}=rN\left(\frac{K-N}{K}\right)$

4. $\frac{dN}{dt}=rN$