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1/1X4+1/4x7+1/7X10+.+1/301x304的值
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1/1X4+1/4x7+1/7X10+.+1/301x304的值
▼优质解答
答案和解析
1/1X4+1/4x7+1/7X10+.+1/301x304
=1/3*(1-1/4)+1/3*(1/4-1/7)+.+1/3*(1/301-1/304)
=1/3(1-1/4+1/4-1/7+.+1/301-1/304)
=1/3*(1-1/304)
=1/3*303/304
=101/304
=1/3*(1-1/4)+1/3*(1/4-1/7)+.+1/3*(1/301-1/304)
=1/3(1-1/4+1/4-1/7+.+1/301-1/304)
=1/3*(1-1/304)
=1/3*303/304
=101/304
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