Answer:
1009.5
Explanation:
We know a term is made up of:
1. The first term added
2. The common difference added (The amount between two terms.)
So, we can say the first term is the variable x, and d for common difference. a11 then equals x+10d.
The question asks for a6, which is x+5d. It also gives that a1+a11=2019, so x+x+10d=2019. 2x+10d=2019, or 2(x+5d).
Do you notice something now? a6 is x+5d, and a1+a11=2(x+5d). a1+a11=2(a6)! That just means a6=2019/2=1009.5
I hope you understand! Thank you!