Question

question 4 (multiple choice worth 3 points)
(simple interest and arithmetic sequences lc)

an arithmetic sequence begins with 56, 59, 62, 65, 68, ...

which option below represents the formula for the sequence?

• \\(f(n) = 56 + 3(n - 1)\\)
• \\(f(n) = 53 + 3(n - 1)\\)
• \\(f(n) = 56 + 3(n)\\)
• \\(f(n) = 53 + 3(n + 1)\\)

Explanation:

Identify the first term and common difference

$$
LATEXBLOCK0
$$

Apply the explicit formula for an arithmetic sequence

$$
LATEXBLOCK1
$$

Answer:

• (A) \(f(n) = 56 + 3(n - 1)\) (Correct answer)
• (B) \(f(n) = 53 + 3(n - 1)\)
• (C) \(f(n) = 56 + 3(n)\)
• (D) \(f(n) = 53 + 3(n + 1)\)