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HCF and LCM

In a sequence...

Question

In a sequence, defined as T_n+1=T_n+T_n-1,if the 12^th term is 144 and the 14^th term is 377. What is the 15^th term?

502

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401

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610

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Cannot be determined

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Solution

The correct option is C
610

T_n+1=T_n+T_n-1. 12^th term = 144

14^th term=12^th term+13^thterm 144+x=377

X=233. 15^th term = 13^th term + 14^th term = 233+377=610

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