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The 59th term of an AP is 449 and the 449th term is 59. Which term is equal to 0 (zero)?

Options

  1. A501th term
  2. B502 nd term
  3. C508 th term
  4. D509th term

Correct answer

C. 508 th term

Step-by-step solution

aligned & T ₅₉=a+58 d=449...(i) & ~T ₄₄₉=a+448 d=59...(ii) aligned from (i) and (ii) a+58 d=449 aligned & a+448 d=59 -390 d=390 & d=-1 & a=449+58=507 & a+(n-1) d=0 & (n-1) d=-507, n=508 aligned

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