Question

what is the next fraction in this sequence? simplify your answer.
\\(\frac{2}{17}\\), \\(\frac{4}{17}\\), \\(\frac{6}{17}\\), \\(\frac{8}{17}\\), ...

Explanation:

Step1: Analyze numerators

The numerators are 2, 4, 6, 8. The pattern is adding 2 each time. So next numerator: \(8 + 2 = 10\).

Step2: Analyze denominators

The denominators are all 17, so next denominator remains 17.

Step3: Form the fraction

Combine numerator 10 and denominator 17: \(\frac{10}{17}\).

Answer:

\(\frac{10}{17}\)