Question

find the next two terms in this sequence. \\(\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{?}{\square}, \frac{\square}{\square}\\)

Explanation:

Step1: Analyze numerator pattern

The numerators of the fractions are 1, 2, 3, 4. So the pattern for numerators is that each term increases by 1. So the next numerators will be 5, then 6.

Step2: Analyze denominator pattern

The denominators of the fractions are 2, 3, 4, 5. So the pattern for denominators is that each term increases by 1. So the next denominators will be 6, then 7.

Step3: Form the next terms

Using the numerator and denominator patterns, the fifth term is $\frac{5}{6}$ and the sixth term is $\frac{6}{7}$.

Answer:

The next two terms are $\frac{5}{6}$ and $\frac{6}{7}$.