What is the sum of all integer values of such that
Details and assumptions
can be a negative integer. Since the exponent is an integer, the value is still well defined.
is undefined.
Find the sum of all positive integers that satisfy the equation above.
Note: is a real number.
In England, with respect to the initial population each year, the death rate is and the birth rate is
If there were no emigration, how many years would it take for the population to double?
Note: Round up your answer.
We know
But there are some students who claim that
which is obviously incorrect. However, it is true for some triplets of integers, . If and , then find the number of possible triplets for which .