TCS Company Numerical Ability Age Problem

1024,512 , a1,a2,a3.....,a8 is the series what is the a8 in the series if the second term is the arithmatic mean (avg )of the previous term ?
what is a8?

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TCS Other Question

two cards are set asidefirst what is the probility that that card drawn is a king on next turn? how many correct answers we should have attended to get selected in tcs???