Different A.P.'s are constructed with the first term 100, the last term 199, and integral common differences. The sum of the common differences of all such A.P.'s having at least 3 terms and at most 33 terms is ______.
← JEE Main 2022 · 26 Jul · Shift 2
MathematicsInteger+4 / -1Question 29 of 90
JEE Main 2022 · 26 Jul · Shift 2, Mathematics question 29
Answer and worked solution
Official answer: 53
Terms. gives , with .
Divisors of 99 in that range: 3, 9, 11, giving .
Answer: 53