If the sequence {xn} satisfies lgxn + 1 = 1 + lgxn and X1 + x2 + +If X100 = 100, LG (X101 + X102 +...) +x200)=(  ) A. 102B. 100C. 1000D. 101

If the sequence {xn} satisfies lgxn + 1 = 1 + lgxn and X1 + x2 + +If X100 = 100, LG (X101 + X102 +...) +x200)=(  ) A. 102B. 100C. 1000D. 101

∵lgxn+1=1+lgxn,∴lgxn+1-lgxn=1,∴lgxn+1xn=1,∴lg(x101+x102+… +x200)=lg[(x1+x2+… +X 100) × 10100] = LG (100 × 10100) = lg10102 = 102, so a