Question

Please help me answer this!!!

Answer 1

`a_1` is the first term of the sequence, which is
`\boxed{-4}.`

`r` is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so
`\boxed{r=-2}.`

We use the formula
`S_n=(a_1(r^n-1))/(r-1)` to find the sum of the first 6 terms - just plug in our values for
`a_1` and
`r:`

`S_6=(-4((-2)^6-1))/(-3)=(-4(63))/(-3)=\boxed{84}.`