Ex. 1: Compute the value of the sum:
Ex. 2: Create a generator that computes the sequence defined by the relation:
Ex. 3: Generate all the even numbers.
Ex. 4: Let 
. In calculus, it is shown that 
. Determine experimentally the smallest number 
such that 
. Use a generator for this task.
Ex. 5: Generate all prime numbers less than a given integer. Use the algorithm called Sieve of Eratosthenes.
Ex. 6: Solving the differential equation 
by applying the explicit Euler method results in the recursion:
Write a generator that computes the solution values 
for a given initial value 
and for a given value of the time step 
.
Ex. 7: Compute π using the formula:
The integral can be approximated using the composite trapezoidal rule, that is, with this formula:
where 
.
Program a generator for the values 
and evaluate the formula by summing one term after the other. Compare your results...
