The following conjectures were made by students.
Which do you think are false? Give a counterexample
for each conjecture if possible.
a. Only half of the nonzero even numbers up to 100 are
divisible by 4.
Try them out.
2, 4, 6, 8, 12, 14, 16, 18, 22, 24, 26, 28, 32, 34, 36, 38, 42, 44, 46, 48 . . .
What do you think?