Answer:
sum = -15/2
Explanation:
Given the formula for the n-th term of a sequence is n(n-8)/√(n+3), you want the sum of the 1st and 6th terms.
First term
The first term is found by substituting 1 for n:
1(1 -8)/√(1 +3) = 1(-7)/√4 = -7/2
Sixth term
The sixth term is found by substituting 6 for n:
6(6 -8)/√(6 +3) = 6(-2)/√9 = -12/3 = -4
Sum
The sum of the first and sixth terms is ...
-7/2 +(-4) = -(7/2 +8/2) = -15/2
sum = -7 1/2