Question

Given two terms in an arithmetic sequence find the explicit formula.
a(sub18) = -3382 a(sub32) = -6182
I'm really confused on this. Can someone please explain this to me?

Answer 1

\[a_{18}=-3382\]

Answer 2

\[a_{32}=-6182\]

Answer 3

we want find difference between each sequence

Answer 4

from 18 to 32 , it goes -3382 to -6182

\[\frac{-6182- -3382}{32-18}\]

Answer 5

Explicit form
\[a_n=a_1+ d(n-1)\]

evaluating above will find you d

Answer 6

to find a_1

\[a_1=a_{18}-d(17)\]

Answer 7

thank you so much imran!

Answer 8

np