1. Tardigrade
  2. Question
  3. Mathematics
  4. The sequence is defined as follows a1=(1/2), an+1=an2+an, S=(1/a1+1)+(1/a2+1) ldots ldots ldots (1/a100+1) them [S] is (where) [.] denotes the greatest integer function)

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Q. The sequence is defined as follows $a_1=\frac{1}{2}, a_{n+1}=a_n^2+a_n, S=\frac{1}{a_1+1}+\frac{1}{a_2+1} \ldots \ldots \ldots \frac{1}{a_{100}+1}$ them $[S]$ is (where) [.] denotes the greatest integer function)

Sequences and Series

Solution:

Correct answer is (a) 1