Ex. 1:Â Compute the value of the sum:
Ex. 2:Â Create a generator that computes the sequence defined by the relation:
Ex. 3:Â 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:Â 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...
