Question

What are the two arithmetic means between -13 and 8?

Answer 1

first arithmetic mean is average.
\[\huge Average=\frac{-13+8}{2}=\frac{-5}{2}=-2.5\]

Answer 2

My options are:
-5, 2
-6, 1
-4, 3
-3, 4

Answer 3

i think its option A

Answer 4

How do you arrive at it?

Answer 5

because see my fraction involves both -5 and 2. that's why i choose option a

Answer 6

I don't think they are actually talking about arithmetic means or there wouldn't be two.
I think they're talking about a sequence where there are two terms between -13 and 8

\[\Large -13,a_{2},a_{3},8\]

If you use the formula for an arithmetic progression
\[\Large a_{n}=a_{1}+(n-1)d\]Where d is the common difference and n is the term you're on

\[\Large a_{4}=8=-13+3d\]
So that d is 7, then the two middle terms would be
\[\Large a_{2}=a_{1}+d=-13+7=-6\]\[\Large a_{3}=a_{1}+2d=-13+14=1\]

Answer 7

Alright, thanks!

Answer 8

Yup :) Understand the steps?