Question

In the sequence above, each term after the first term is equal to the preceding term plus the constant \(c\). If \(a_1 + a_3 + a_5 = 27\), what is the value of \(a_2 + a_4\)?

 

• A. \( \frac{5}{6} \)
• B. \( \frac{3}{5} \)
• C. \( \frac{3}{4} \)
• D. \( \frac{2}{5} \)
• E.

Hint:

When comparing fractions, convert them to decimals or find a common denominator to determine the smallest.

Answer 1

The Correct Option is D

To compare the fractions, convert each to a decimal. The smallest decimal corresponds to the smallest fraction: \[ \frac{2}{5} = 0.4, \quad \frac{3}{5} = 0.6, \quad \frac{3}{4} = 0.75, \quad \frac{5}{6} = 0.8333. \] Thus, the smallest fraction is \( \frac{2}{5} \).
Final Answer: \[ \boxed{\text{The correct answer is (D) \( \frac{2}{5} \).}} \]