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TCS Other Question

18) A king’s durbar consists of a knight, a spy & a knave. knight speaks only truth, spy can speak either a truth or a lie & the knave speaks only lies. From the following statements made by 3 people A, B & C comprising knight, spy & knave not in same order. Identify the spy.
A Said “I am knight”.
B Said “A is not knave”.
C Said “If you had a asked me, I would say A is the spy”.
If A1=2 and An+1=An +2n then find A100....(the n values are in subscript with A)