A sequence of numbers a1, a2.....
Capgemini aptitude question with a worked answer. Free to practise - no sign-up.
A sequence of numbers a1, a2..... is given by the rule an 2 = an+1. Do 3 appear in the sequence ?
Statement 1: a1 = 2 Statement 2: a3 = 16
Show answer & explanation
Answer: D. D) using 1st or 2nd statement
Put n = 1 in an2 = an+1 a12 = a2, a22 = a3, a32 = a4 etc From statement 1: a12 = a2 i.e. 22 = a2 or a2 = 4
Now, a22 = a3
i.e. 42 = a3 or a3 = 16, etc Thus, a1 = 2, a2 = 4, a3 = 16, etc