Question

tính:

4+12+24+40+...+19404+19800

 

Answer 1

E=4+12+24+40+...+19404+19800

1/2E=2+6+12+...+9702+9900

1/2E=1.2+2.3+3.4+...+98.99+99.100

3/2E=1.2,3+2.3.(4-1)+3.4.(5-2)+...+98.99.(100-97)+99.100.(101-98)

3/2E=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+98.99.100-97.98.99+99.100.101-98.99.100

3/2E=99.100.101

E=(99.100.101):3/2=666600

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