2016 · Q32
A certain sequence of integers is constructed as follows: Consider 0 and 1 as the first two numbers. The next, i.e. the third number is constructed by their sums, i.e. 1. This process of constructing the next number continues taking these numbers 0, 1, 1 as the first, second and third numbers in the sequence. What will be the 7th and 10th numbers respectively?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A6 and 30
- B7 and 33
- C8 and 34
- D10 and 39
Explanation
The construction rule (each term = sum of the two preceding terms) generates the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. The 7th term is 8 and the 10th term is 34. Hence (C).