7) In an AP if Sn = 4n - n^2then d is
A) 2
B) 1 C) - 2
D) - 1
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Step-by-step explanation:
Because the sum of first n terms of any AP is in the form (d/2)n² + (a - d/2)n, where d is the common difference and a is the first term. So that the coefficient of n² is half of the common difference. Here in S_n = 4n - n², the coefficient of n² is -1, so that half of common difference is -1.
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