A certain type of lily plant is growing in a pond in such a way that the number of plants is growing exponentially. The number of plants, N in the pond at time t is modeled by the function , where and are constants and is measured in months. The table shows two values of the function. 1. Write an equation that can be used to find the number of plants, , in the pond at time . Use what you know about the formula for a geometric sequence to help you find the values of a and b.

2. Find the growth of the plant when t = 3 using your formula