Suppose you put a piece of algae in an empty pond, and the algae will grow three new algae every week. After ten weeks, how many algae will there be in the pond?

Number of algae in week 1: 1;

The number of algae in the second week: 1+1*3;

Number of algae in week 3: 1+1*3+(1+1*3)*3

Summarize the iterative relationship from the number of algae in the current week to the number of algae in the next week. Use Python language programming to solve the above problems. Solve the equation using an iterative method.