
The term of the sequence 1, 1, 2, 3, 5, 8 …….is
Answer
535.2k+ views
Hint – To find the eighth term, we identify the given sequence as a Fibonacci series. Using its condition we find the term.
Step-by-step answer:
Here the given sequence,
1, 1, 2, 3, 5, 8 is a Fibonacci sequence.
Fibonacci sequence is a series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers.
As,
2 = 1+1
3 = 1+2
5 = 2+3
8 = 3+5
Therefore, next ( ) term = Sum of the previous two terms = 5 + 8 = 13
Hence, term = 8 + 13 = 21.
Option D is the correct answer.
Note: The key in solving such kind of problems is to identify the kind of sequence given in this case is a Fibonacci Series and to know its definition.
Fibonacci Series typically starts from 0 or 1.
Step-by-step answer:
Here the given sequence,
1, 1, 2, 3, 5, 8 is a Fibonacci sequence.
Fibonacci sequence is a series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers.
As,
2 = 1+1
3 = 1+2
5 = 2+3
8 = 3+5
Therefore, next (
Hence,
Option D is the correct answer.
Note: The key in solving such kind of problems is to identify the kind of sequence given in this case is a Fibonacci Series and to know its definition.
Fibonacci Series typically starts from 0 or 1.
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