Question

Fie:
E(n)=(-1)la puterea n • n+1, n€N
Calculati suma:
S=E(0)+E(1)+E(2)+...+E(2002)

Answer 1

E(0)= $(-1)^{0*(0+1)} = 1$
E(1)=$(-1)^{2}$ = 1
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E(2002)= 1 [ -1 LA PUTERE PARA = 1 ]
S = 1+1+,,,+1 = 1*2003 = 2003