The sum of first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is the sum of first 40 terms?

1 answer

You want

40/2 (2a+39d)

where

12/2 (2a+11d) = 186
a+19d = 83

Just solve those last two for a and d, then plug them into the first formula.