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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let the sum of the first nn terms of a non-constant AP a1, a2, a3....  {a_1},\,{a_2},\,{a_3}....\,\, be 50n+n(n−7)2A, 50n + \frac{{n(n - 7)}}{2}A,\, where AA is a constant. If dd is the common difference of this AP, then the ordered pair (d, a50)(d,\,{a_{50}}) is equal to
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Correct option: A
(A, 50+46A)(A,\,50 + 46A)
Option A ((A, 50+46A)(A,\,50 + 46A)) is correct because after calculating the common difference and the 50th term, the ordered pair matches this option.

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