Question

I need help solving thisIt’s from my ACT prep guide from the calculus portion.

Answer 1

Let's find the sequence associated to the sum:

`\begin{gathered} a_n=a_1+(n-1)d \\ _{\text{ }}where\colon \\ a_1=11 \\ d=a_2-a_1=17-11=6 \\ so\colon \\ a_n=11+(n-1)(6) \\ a_n=11+6n-6 \\ a_n=6n+5 \end{gathered}`

Therefore, the sum will be given by:

`\begin{gathered} \sum ^6_(i=1)a_n \\ \sum ^6_(i=1)6n+5 \end{gathered}`