Answer:
[tex]\bold{-}\frac{\boxed{\bold{11}}}{\boxed{\bold{4}}}[/tex]
Step-by-step 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.
[tex]d=-\frac14-1=-1\frac14=-\frac54[/tex]
Therefore the next term will be:
[tex]-\frac32+d=-\frac32+(-\frac54)=-\frac64-\frac54=-\frac{11}4[/tex]
