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Question

The 8th term of the sequence 1,1,2,3,5,8,.... is

A
25
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B
24
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C
23
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D
21
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Solution

The correct option is D 21
The given sequence is a Fibonacci Sequence with the series of numbers:

1,1,2,3,5,8,.....

In the above sequence, each of the term is found by adding up the two numbers before it that is:

The third term 2 is found by adding the two numbers before it (1+1)
The fourth term 3 is found by adding the two numbers before it (1+2),
The fifth term 5 is (2+3),
The sixth term 8 is (3+5),
The seventh term 13 is (5+8) and
The eighth term 21 is (8+13)

Hence, the 8th term of the given sequence is 21.

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