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JEE Main 2014

JEE Main 2014 Mathematics question on Sequences and Series

If (10)9+2(11)1(10)8+3(11)2(10)7+…+10(11)9=k(10)9(10)^9 + 2(11)^1(10)^8 + 3(11)^2(10)^7 + \ldots + 10(11)^9 = k(10)^9, then kk is equal to
  1. A.
    12110\dfrac{121}{10}
  2. B.
    441100\dfrac{441}{100}
  3. C.
    100
  4. D.
    110
Show answer

Correct option: C

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