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Given the recursive formula an = 5(an-1), where a1 = 2. Find a4.

A. 17
B. 250
C. 20
D. 1250

User Sowdri
by
8.9k points

1 Answer

2 votes

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.

User Altealice
by
8.3k points
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