Question

HELP BECAUSE IM STUPID!

What is the explicit rule for the sequence?

13, 10.5, 8, 5.5, 3, 0.5, ...



an=15+2.5n

an=15.5+2.5n
an=15−2.5n
an=15.5−2.5n

Answer 1

I don't think you're stupid. ^^
Let's take the third term, 8. If n=3, then an should be 8.
The first answer gives 15+2.5*3=22.5.
The second answer gives 15.5+2.5=23.
The third answer gives 15-2.5*3=7.5.
The fourth answer gives 15.5-2.5*3=8.
Choice 4 is correct.

Let's try to actually find the equation on our own.
The equation for an arithmetic series is an=a0+dn where a0 is the term that comes before the first term.
The first term given is 13 and it decreases by 2.5 each time so n=-2.5 and the term that would be before 13 is 15.5.
Thus the equation is an=15.5-2.5n