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Question

9th term of the sequence 1,1,2,3,5... Is

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Solution

The first term is 1
The pattern is when we add the previous two terms we get the next term first (1+0) = 1 we took zero because there is no previous term. So then 3rd term = 2nd term + 1st term = 1 + 1 = 2
likewise 4th term = 2nd term + 3rd term = 1+ 2 = 3
5th term = 3rd + 4th
= 2 + 3 = 5

6th term = 4th + 5th
= 3 + 5 = 8
7th term = 5th + 6th
= 5 + 8 = 13
8th term = 6th + 7th
= 8 + 13 = 21

so similarly we can see that the sequence is

1,1,2,3,5,8,13,21,34,.....

like wise 9th term = 7th term + 8th term
= 13 + 21 = 34

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