Question

The sequence 1/6, -2/7, 3/8, -4/9, … is given.Assuming the pattern continues, list the next four terms in the sequence.

Answer 1

Okay, here we have this:

Considering the provided sequence, we obtain that:

We can see that the pattern that the sequence takes is: From one term to the next it changes sign, and increases the value absolute of the numerator and denominator by one unit. So the next four terms in the sequence are:

5th term=5/10

6th term=-6/11

7th term=7/12

8th term=-8/13