The sum of the first 50 positive even integers is 2550. What is the sum T of even integers from 102 to 200 inclusive?  Choose the correct answer:
A) 5100 B) 7550 C) 10100 D) 15500 E) 20100

Rationale: "my solution is : first 50 even integers : 2 4 6 8 < . . . > integers from 102 to 200 102 104 106 108 < . . . > we notice that each integer from the second set is 100 more than the respective integer in the first set . since we have 50 even integers from 102 to 200 , then : t = 2550 + ( 100 * 50 ) = 7550 . b"
Answer: B