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y denotes the sum of the odd integers from 1 to 49 inclusive, and x de
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24 Nov 2021, 10:07
24 Nov 2021, 10:07
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y denotes the sum of the odd integers from 1 to 49 inclusive, and x denotes the sum of the odd integers from 51 to 99 inclusive. What is the value of x - y?
(A) 500
(B) 600
(C) 750
(D) 1,000
(E) 1,250
(A) 500
(B) 600
(C) 750
(D) 1,000
(E) 1,250
y denotes the sum of the odd integers from 1 to 49 inclusive, and x de
[#permalink]
24 Nov 2021, 19:29
24 Nov 2021, 19:29
1
In an arithmetic series, when the first(\(a\)) and the last term(\(l\)) is known, the sum = n/2 (a + l)
\(y = 1 + 3 + 5 + ... + 49\)
\(y = \frac{25}{2}(1 + 49)\)
\(y = 625\)
\(x = 51 + 53 + 55 + ... + 99\)
\(x = \frac{25}{2}(51+99)\)
\(x = 25 * 75 = 1875\)
\(x - y = 1875 - 625 = 1250\)
Answer E
\(y = 1 + 3 + 5 + ... + 49\)
\(y = \frac{25}{2}(1 + 49)\)
\(y = 625\)
\(x = 51 + 53 + 55 + ... + 99\)
\(x = \frac{25}{2}(51+99)\)
\(x = 25 * 75 = 1875\)
\(x - y = 1875 - 625 = 1250\)
Answer E
gmatclubot
y denotes the sum of the odd integers from 1 to 49 inclusive, and x de [#permalink]
24 Nov 2021, 19:29
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