(D) The pattern follows an alternating addition and subtraction of multiples of $84$ by powers of $2$.$563 + 84 \times 2^0 = 563 + 84 = 647$$647 - 84

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(D) The pattern follows an alternating addition and subtraction of multiples of $84$ by powers of $2$.$563 + 84 \times 2^0 = 563 + 84 = 647$$647 - 84 \times 2^1 = 647 - 168 = 479$$479 + 84 \times 2^2 = 479 + 336 = 815$$815 - 84 \times 2^3 = 815 - 672 = 143$Therefore,the next term in the series is $143$.