find the missing terms of the arithmetic sequence

Answer:
missing terms are -2,3,8
Step-by-step explanation:
-7, ?, ?, ?, 13
To find missing terms we add last two term and divide it by 2
so that we will get middle term
[tex]\frac{-7+13}{2} = \frac{6}{2} =3[/tex]
so sequence becomes
-7, ?, 3, ?, 13
Again we add -7 and 3 and then divide it by 2 to get middle number
[tex]\frac{-7+3}{2} = \frac{-4}{2} =-2[/tex]
so sequence becomes
-7, -2, 3, ?, 13
Again we add 3 and 13 and then divide it by 2 to get middle number
[tex]\frac{3+13}{2} = \frac{16}{2} =8[/tex]
-7, -2, 3, 8, 13
So, missing terms are -2,3,8