1. The product of three successive numbers in an AP is 15000. The largest number is 3/2 times the smallest. What is the middle term? (A.P. = Arithmetic Progression)
a. 10
b. 15
c. 20
d. 25
EXPLANATION
Let the three successive numbers in the arithmetic progression be (a-d), (a), and (a+d). The product of these three numbers is 15000. Additionally, the largest number is 3/2 times the smallest.
Solving these conditions, we find the three numbers as 20, 25, and 30. The middle term ( (a) ) is 25.
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