Solve the problem.
-A grocery store display of apples has a total of 16 rows. The bottom row requires 104 apples. Each successive row requires 5 less apples than the prior one. How many apples are required to build the display?
A) 2264 apples
B) 2128 apples
C) 1064 apples
D) 1024 apples

Question

Quizplus · Accepted Answer

The number of apples in each row forms an arithmetic sequence with the first term a_1 = 104 and the common difference d = -5. The number of apples in the nth row is given by a_n = a_1 + (n-1)d. The total number of apples is the sum of the sequence: S_n = n/2 * (a_1 + a_n). For 16 rows, a_16 = 104 + 15*(-5) = 29. So, S_16 = 16/2 * (104 + 29) = 8 * 133 = 1064 apples.

Solve the Problem. -A Grocery Store Display of Apples Has a Total of a Total