Question

what is the next fraction in this sequence? simplify your answer.\
\\(\frac{10}{41}, \frac{11}{41}, \frac{12}{41}, \frac{13}{41}, \dots\\)

Explanation:

Step1: Analyze the sequence pattern

The given sequence is \(\frac{10}{41}, \frac{11}{41}, \frac{12}{41}, \frac{13}{41}, \dots\). We can see that the numerator is increasing by 1 each time while the denominator remains constant at 41.

Step2: Find the next term

To find the next fraction, we add 1 to the numerator of the last given term (\(\frac{13}{41}\)). So the new numerator is \(13 + 1 = 14\) and the denominator is still 41. So the next fraction is \(\frac{14}{41}\).

Answer:

\(\frac{14}{41}\)