An arithmetic sequence consists of 2197 consecutive positive terms, which sum up to 65^4 and whose first term is a 4-digit prime number. What are the first and the last terms of this sequence? Thank you for help.
A formula to find the sum of an arithmetic sequence is: Sum = N(F + L)/2
N = number of numbers = 2197
F = first number
L = last number = F + 2196
Sum = 654 = 17,850,625
---> 17,850,625 = 2197( F + (F + 2196) ) / 2
35,701,250 = 2197( 2F + 2196)
16250 = 2F + 2196
14054 = F
7027 = F
You can find the last term ...