帮忙解答100²- 99²﹢ 98 ²+···+ 2 ²-1²
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帮忙解答100²- 99²﹢ 98 ²+···+ 2 ²-1²
100²- 99²﹢ 98 ²-97²+ 96²- 95²+···+ 2 ²-1²帮忙解答
100²- 99²﹢ 98 ²-97²+ 96²- 95²+···+ 2 ²-1²帮忙解答
![帮忙解答100²- 99²﹢ 98 ²+···+ 2 ²-1²](/uploads/image/z/15640981-61-1.jpg?t=%E5%B8%AE%E5%BF%99%E8%A7%A3%E7%AD%94100%26%23178%3B%EF%BC%8D+99%26%23178%3B%EF%B9%A2+98+%26%23178%3B%2B%C2%B7%C2%B7%C2%B7%EF%BC%8B+2+%26%23178%3B%EF%BC%8D1%26%23178%3B)
原式=(100+99)(100-99)+(98+97)(98-97)+.+(2+1)(2-1)
=1+2+.+99+100
=(1+100)*100/2
=5050
=1+2+.+99+100
=(1+100)*100/2
=5050