求解等差数列已知等差数列{An}中``Am=p``An=q`m不等于n``求Am+n
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/28 12:39:23
![求解等差数列已知等差数列{An}中``Am=p``An=q`m不等于n``求Am+n](/uploads/image/z/7995003-51-3.jpg?t=%E6%B1%82%E8%A7%A3%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%E5%B7%B2%E7%9F%A5%E7%AD%89%E5%B7%AE%E6%95%B0%E5%88%97%7BAn%7D%E4%B8%AD%60%60Am%3Dp%60%60An%3Dq%60m%E4%B8%8D%E7%AD%89%E4%BA%8En%60%60%E6%B1%82Am%2Bn)
求解等差数列已知等差数列{An}中``Am=p``An=q`m不等于n``求Am+n
求解等差数列
已知等差数列{An}中``Am=p``An=q`m不等于n``求Am+n
求解等差数列已知等差数列{An}中``Am=p``An=q`m不等于n``求Am+n
An-Am=(n-m)d=q-p,则d=(q-p)/(n-m),故Am+n=An+(md)=q+m*(q-p)/(n-m)=(nq-mp)/(n-m)
假设n>m.
An-Am=(n-m)d=q-p
d=(q-p)/(n-m)
Am+n=An+(n+m-n)d=q+md
=(nq-mp)/(n-m)
|p-q|(绝对值)/(m-n)*n+Am