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If 9th term of an A.P. is zero, then its 29th term is ________ its 19th term.
  • a)
    Thrice of
  • b)
    Twice of
  • c)
    Half of
  • d)
    Equal to
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If 9th term of an A.P. is zero, then its 29th term is ________ its 19t...
Let 1st term of A.P. be a and common difference be d.
Now, a9 = 0 ⇒ a + 8d = 0 ⇒ a = –8d ...(i)
Now, a29 = a + 28d = –8d + 28d
⇒ a29 = 20d ...(ii)
Also, a19 = a + 18d = –8d + 18d = 10d
⇒ 2 × a19 = 2 × 10d = 20d ...(iii)
From (ii) and (iii), we have
a29 = 2a19
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