下列各式,3²+4²=5²,8²+6²=10²,15²+8²=17²,24²+10²=26²请用关于n的式子把规律写下来如果回答出,另有分值
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![下列各式,3²+4²=5²,8²+6²=10²,15²+8²=17²,24²+10²=26²请用关于n的式子把规律写下来如果回答出,另有分值](/uploads/image/z/2611116-36-6.jpg?t=%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%2C3%26%23178%3B%2B4%26%23178%3B%3D5%26%23178%3B%2C8%26%23178%3B%2B6%26%23178%3B%3D10%26%23178%3B%2C15%26%23178%3B%2B8%26%23178%3B%3D17%26%23178%3B%2C24%26%23178%3B%2B10%26%23178%3B%3D26%26%23178%3B%E8%AF%B7%E7%94%A8%E5%85%B3%E4%BA%8En%E7%9A%84%E5%BC%8F%E5%AD%90%E6%8A%8A%E8%A7%84%E5%BE%8B%E5%86%99%E4%B8%8B%E6%9D%A5%E5%A6%82%E6%9E%9C%E5%9B%9E%E7%AD%94%E5%87%BA%EF%BC%8C%E5%8F%A6%E6%9C%89%E5%88%86%E5%80%BC)
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下列各式,3²+4²=5²,8²+6²=10²,15²+8²=17²,24²+10²=26²请用关于n的式子把规律写下来如果回答出,另有分值
下列各式,3²+4²=5²,8²+6²=10²,
15²+8²=17²,24²+10²=26²请用关于n的式子把规律写下来
如果回答出,另有分值
下列各式,3²+4²=5²,8²+6²=10²,15²+8²=17²,24²+10²=26²请用关于n的式子把规律写下来如果回答出,另有分值
3²-2*3=3,4²-2*4=8得[(n+2)²-2(n+2)]²=(n+2)²n²,n>=1
4,6,8,10成等差,[4+(n-1)*2]²=(2n+2)²
数列5,10,17,26的数列解起来比较复杂,我就不解了
an=5+(n+3)(n-1)
a²n=[5+(n+3)(n-1)]²=(n²+2n+2)²
规律:[(n+2)²-2(n+2)]²+[4+(n-1)*2]²=[5+(n+3)(n-1)]²
即(n+2)²n²+(2n+2)²=(n²+2n+2)²