Determine the value of if the value of the middle term in the expansion of
is 4 320.
Since is even, we use to find the middle term. Substituting 6 for , the middle term is , so we are looking to find . In a binomial expansion, the formula is . In this problem, , , , and . Substitute these values into the formula and set it equal to in order to find the value of .
The value of is 13.