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Let the sum of the first n terms of a no...

Let the sum of the first n terms of a non-constant A.P., `a_(1), a_(2), a_(3),... " be " 50n + (n (n -7))/(2)A`, where A is a constant. If d is the common difference of this A.P., then the ordered pair `(d, a_(50))` is equal to

A

(50, 50 + 46A)

B

(50, 50+ 45A)

C

(A, 50 + 45A)

D

(A, 50 + 46A)

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The correct Answer is:
D
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