1+1/4+1/9+…+1/121=?这个数列的和是多少?
问题描述:
1+1/4+1/9+…+1/121=?这个数列的和是多少?
答
1+1/4+1/9+1/16+1/25+1/36+1/49+1/64+1/81+1/100+1/121
=(1+1/4+1/16+1/25+1/64+1/100)+(1/9+1/36+1/81)+(1/49+1/121)
=---------(只能采取这种笨办法啰,分母中有公因数的先通分)
=235031489/153679680
=1.5293595679012345679012345679012345679---------
(足足用了15分钟)