Question

How do you find `a_10` given 8, 3, -2,...?

Answer 1

a10=`-37`

Explanation:

we have relation for Arithmetic sequence `an=a1+(n-1)d`
from given scenario
`an=a10`
`a1=8`
`n=10`
`d=3-8=-5` (difference of two terms in a way d=a(nth+1 term) --a(nth term)
therefore
`an=a1+(n-1)d`
`a10=8+(10-1)(-5)`
`a10=8+(9)(-5)`
`a10=8-45`
`a10=-37`