Question

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

• A. 1
• B. 2
• C. 3
• D. None of these

Answer 1

Answer: (A)

Correct answer is (a) 1