A. -59,048
The first pair of terms sums to -8; the second pair to -72. Each pair after that sums to a value 9 times the previous one. Then the sum of 10 terms is ...
... (-8) + (-72) + (-648) + (-5832) + (-52488)
Before you even add this up, you know the answer choice is A. The sum is ...
... -59, 048
_____
Using the formula
The formula for the sum of a geometric series is ...
... S = a1·(r^n -1)/(r -1) . . . . . where a1 = 4 is the initial term, r=-3 is the common ratio, and n=10 is the number of terms.
Filling in the values and doing the arithmetic, we have ...
... S = 4·((-3)^10 -1)/(-3-1) = 4·(59,049 -1)/(-4) = -59,048
