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Sequences and Series question

2023 · 31 Jan · Shift 2 · Q29
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  5. /2023 · 31 Jan · Shift 2 · Q29

Sequences and Series question

2023 · 31 Jan · Shift 2 · Q29

JEE MainMathematicsSequences and SeriesMCQ+4 / −1
Let a1,a2,a3,…a_1, a_2, a_3, \ldotsa1​,a2​,a3​,… be an A.P. If a7=3a_7=3a7​=3, the product a1a4a_1 a_4a1​a4​ is minimum and the sum of its first nnn terms is zero, then n!−4an(n+2)n !-4 a_{n(n+2)}n!−4an(n+2)​ is equal to :
  1. A
    24
  2. B
    3814\frac{381}{4}4381​
  3. C
    9
  4. D
    334\frac{33}{4}433​
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