1/3*4+1/4*5+1/5*6+.+1/an*a(n+1)=197/600求

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1/3*4+1/4*5+1/5*6+.+1/an*a(n+1)=197/600求
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1/3*4+1/4*5+1/5*6+.+1/an*a(n+1)=197/600求
1/3*4+1/4*5+1/5*6+.+1/an*a(n+1)=197/600求

1/3*4+1/4*5+1/5*6+.+1/an*a(n+1)=197/600求
原式=1/3-1/4+1/4-1/5+.+1/an-1/a(n+1)=1/3-1/a(n+1)=200/600-1/a(n+1)
则a(n+1)=200,an=199

1/3*4+1/4*5+1/5*6+。。。。。+1/an*a(n+1)
=1/3-1/4+1/4-1/5+1/5-1/6+...+1/an-1/a(n+1)
=1/3-1/a(n+1)
=197/600
则1/a(n+1)=1/3-198/600=1/200.
a(n+1)=200.
第n+1项是200,公差是1,首项是3.
(200-3)/1+1=198.
n+1=198.
n=197.

简算：1/1*2+1/2*3+1/3*4+1/4*5+1/5*6 数学题(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/(1/4+1/5+1/6+...+1/671)(1/3+1/4+1/5+..+1/670)-(1/3+1/4+1/5+...+1/671)(1/4+1/5+1/6+...+1/670）=? 1/3*4+1/4*5+1/5*6+1/6*7+.1/99*100=? 巧算：(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4+1/5+1/6)-(1+1/2+1/3+1/4+1/5+1/6)*(1/2+1/3+1/4+1/5)===== (-60)/(1/3-1/4+1/5-1/6) please 2×3/1+3×4/1+4×5/1+5×6/1+.199×200/1=? [2^4+1/4)(4^4+1/4)(6^4+1/4)(8^4+1/4)(10^4+1/4)】/[1^4+1/4)(3^4+1/4)(5^4+1/4)(7^4+1/4)(9^4+1/4)] 1/1*3+1/2*4+1/3*5+1/4*6+.+1/100*102=? 1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6---------+1/48*49*50 5+1-4×3+4-5+27×6 4/5×(5/6-3/4)-1/15 1/2*1/3+1/3*1/4+1/4*1/5+1/5*1/6 （简便方法） 1+2+3+4+5+6+78 1+2+3+4+5+6+.1000 1 2 3 4 5 6 题 1/2/3/4/5/6题 (5/12+1/6-3/4)×(-24) 1+2-3+4-5+6=