答:
100x99+98x97+96x95+94x93.....+4x3+2x1
=100×100-100+98×98-98+96×96-96+....+2×2-2
=(100²+98²+96²+.....+2²)-(100+98+96+.....+2)
=4×(50²+49²+48²+....+1²)-2×(50+49+48+....+1)
=4×50×(50+1)×(2×50+1) / 6 -2×(50+1)×50 /2
=100×17×101-51×50
=171700-2550
=169150
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