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Gresty Academy Paper 2 · Q16

Paper 2Sequences & series

If α\alpha is a root of

x3+x2+x+1=0x^3+x^2+x+1=0

then

∑n=01000αn=\sum_{n=0}^{1000}\alpha^n=
A00
B11
C−1-1
Dα+1\alpha+1
Eα−1\alpha-1

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