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 by the sum of the last two constructed numbers 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?
Correct Answer: (c) 8 and 34
Solution:According to the questions,
First number = 0
Second number = 1
Third number = First number + Second number = 0 + 1 = 1
Fourth number = Second number + Third number = 1 + 1 = 2
Fifth number = third number + fourth number = 1 + 2 = 3
Sixth number = fourth number + fifth number = 2 + 3 = 5
Seventh number = Fifth number + Sixth number = 3 + 5 = 8
Eighth number = Sixth number + Seventh number = 5 + 8 = 13
Ninth number = Seventh number + Eighth number = 8 + 13 = 21
Tenth number = Eighth number + Ninth number = 13 + 21 = 34
Hence, required 7th and 10th number = 8 and 34