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What is the ratio of the sum of the odd positive integers b
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16 Sep 2017, 15:41
16 Sep 2017, 15:41
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Question Stats:
77% (02:33) correct
22% (02:30) wrong based on 44 sessions
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What is the ratio of the sum of the odd positive integers between 1 and 100, inclusive, and the sum of the even positive integers between 100 and 150, inclusive?
(A) 2 to 3
(B) 5 to 7
(C) 10 to 13
(D) 53 to 60
(E) 202 to 251
Re: What is the ratio of the sum of the odd positive integers b
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18 Sep 2017, 00:48
18 Sep 2017, 00:48
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What we are asked is the ratio between the sums of two arithmetic progressions. Thus, using the formula for the sum of an arithmetic progression, \(S_n=\frac{n}{2}(f+l)\) where \(f\) is the first term of the progression and \(l\) is the last one, I can compute the numerator as \(\frac{50}{2}(1+99)=2500\) and the denominator as \(\frac{26}{2}(100+150)=3250\). Dividing \(2500\) by \(3250\), I get \(\frac{10}{13}\), thus the answer is C!
Re: What is the ratio of the sum of the odd positive integers b
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06 Oct 2021, 04:26
06 Oct 2021, 04:26
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