计算100²-99²=98²-97²+...+2²-1²的值
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![计算100²-99²=98²-97²+...+2²-1²的值](/uploads/image/z/2555718-6-8.jpg?t=%E8%AE%A1%E7%AE%97100%26%23178%3B-99%26%23178%3B%3D98%26%23178%3B-97%26%23178%3B%2B...%2B2%26%23178%3B-1%26%23178%3B%E7%9A%84%E5%80%BC)
计算100²-99²=98²-97²+...+2²-1²的值
计算100²-99²=98²-97²+...+2²-1²的值
计算100²-99²=98²-97²+...+2²-1²的值
计算100²-99²+98²-97²+...+2²-1²的值
100²-99²+98²-97²+...+2²-1²
=(100+99)×(100-99)+(98+97)×(98-97)+……+(2+1)×(2-1)
=100+99+98+97+……+2+1
=(100+1)×100÷2
=5050