Final answer:
To find a4 in the sequence defined by an = 5(an-1) starting with a1 = 2, we sequentially calculate a2, a3, and a4 to determine that a4 equals 250, which is answer B.
Step-by-step explanation:
The question involves using a recursive formula to find a term in a sequence.
Specifically, we want to calculate a4 for the sequence defined by an = 5(an-1), where a1 = 2.
To solve for a4, we would sequentially find the values of a2, a3, and then a4.
- a2 = 5 = 5(2) = 10
- a3 = 5 = 5(10) = 50
- a4 = 5 = 5(50) = 250
Thus, the correct answer is B. 250.