SOLUTION: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]?
(A) 97
(B)
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-> SOLUTION: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]?
(A) 97
(B)
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Question 1201933: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]?
(A) 97
(B) 98
(C) 101
(D) 198
(E) 199 Answer by ikleyn(52788) (Show Source):
It is the difference of two sums.
First sum is the sum of all even integer numbers from 2 to 100, inclusive.
Second sum is the sum of all even integer numbers from 2 to 96, inclusive.
Their difference is 100 + 98 = 198.
ANSWER. 198. Option D.
