Question

What is the sum of a 54–term arithmetic sequence where the first term is 6 and the last term is 377?

Answer 1

`S_n=((a_1+a_n)n)/(2)\\--------------------\\a_1=6;\ n=54;\ a_n=a_(54)=377\\\\subtitute\\\\S_(54)=((6+377)\cdot54)/(2)=483\cdot27=13,041\\\\Answer:\boxed{S_(54)=13,041}`