Consider the set: {1, 3, 5}

:: If elements of this set can be selectively added together to yield some number

q, what is its maximum?

:: Are there any odd values between 1 and q

_{max} that q cannot hold?

:: Are there any even values between 1 and q

_{max} that q cannot hold?

Consider the set: {1 , 3 , 5 , 7 , 9 , 11}

:: What is the maximum of q?

:: What odd values between 1 and q

_{max} can q not hold?

:: What even values between 1 and q

_{max} can q not hold?

Consider the set: {1 , 3 , 5 , 7 , 9 , 11, 13}

:: What is the maximum of q?

:: What odd values between 1 and q

_{max} can q not hold?

:: What even values between 1 and q

_{max} can q not hold?

Consider a finite set of odd numbers, {1, 3, 5, 7 ... n}

:: What is the maximum of q, in terms of n?

:: Find the odd values between 1 and q

_{max} that q cannot hold, in terms of n.

:: Find the even values between 1 and q

_{max} that q cannot hold, in terms of n.

Consider the set: {-6, -4, -2, 1, 3, 5, 7}

:: What is the maximum and minimum of q?

:: What odd values between q

_{min} and q

_{max} can q not hold?

:: What even values between q

_{min} and q

_{max} can q not hold?

Consider a finite set: {-2n, -2(n-1), ... -4, -2, 1, 3, 5 ... 2(n-1)+1, 2n+1 }

:: What is the maximum and minimum of q?

:: What odd values between q

_{min} and q

_{max} can q not hold, in terms of n?

:: What even values between q

_{min} and q

_{max} can q not hold, in terms of n?

Amy from Iowa