Show that and deduce that Deduce that the modulus of error in the estimate for the sum

Question:

Show that

20  k=1 (-1)+1 k4 20 - k4 k=1  k=1 -100 -

and deduce that

k=1 (-1)*+1 k4 7 = 8 8 k=1 -| K-4

Deduce that the modulus of error in the estimate for the sum

100  16-4 k=

obtained by computing

k-1(-1)*k4 is less than (N+1)-4. k=

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