Question

what will be the next term in the given sequence
0,1,1,2,5,29.....​

Answer 1

Given : 0,1,1,2,5,29​

To find : Next number

Solution:

0 , 1 , 1 , 2 , 5 , 29

0

1

1  = 0² + 1²

2 = 1² + 1²

5 = 1² + 2²

29 = 2² + 5²

? = 5² + 29²      = 25 + 841 = 866

866 is next number in sequence

Next number is Sum of Square of previous two numbers

Logic is Tₙ₊₂ = Tₙ²+ Tₙ₊₁²   where T₁ = 0  T₂ = 1

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