Question

Find the next term in this
arithmetic sequence.

Answer 1

`\bold{-}\frac{\boxed{\bold{11}}}{\boxed{\bold{4}}}`

Explanation:

In arithmetic sequence the terms increase by the same number (d).

So d is the difference between any pair of next and previous term.

`d=-\frac14-1=-1\frac14=-\frac54`

Therefore the next term will be:

`-\frac32+d=-\frac32+(-\frac54)=-\frac64-\frac54=-\frac{11}4`