1. Tardigrade
  2. Question
  3. Mathematics
  4. Given the sequence of number a1, a2, a3, ldots ldots ldots . . ., a1005 which satisfy (a1/a1+1)=(a2/a2+3)=(a3/a3+5)= ldots ldots . . . . .=(a1005/a1005+2009) Also a1+a2+a3+ ldots ldots+a1005=2010 Nature of the sequence is -

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Q. Given the sequence of number $a_1, a_2, a_3, \ldots \ldots \ldots . . ., a_{1005}$
which satisfy $\frac{a_1}{a_1+1}=\frac{a_2}{a_2+3}=\frac{a_3}{a_3+5}=\ldots \ldots . . . . .=\frac{a_{1005}}{a_{1005}+2009}$
Also $a_1+a_2+a_3+\ldots \ldots+a_{1005}=2010$
Nature of the sequence is -

Sequences and Series

Solution:

Correct answer is (a) A.P.