3/10+3/40+3/88+3/154+3/238+3/340
=3/(2*5)+3/(5*8)+3/(8*11)+3/(11*14)+3/(14*17)+3/(17*20)
=1/2-1/5+1/5-1/8+1/8-1/11+.+1/17-1/20
=1/2-1/20=9/20
3/10+3/40+3/88+3/154+3/238+3/340
=3/(2*5)+3/(5*8)+3/(8*11)+3/(11*14)+3/(14*17)+3/(17*20)
=1/2-1/5+1/5-1/8+1/8-1/11+.+1/17-1/20
=1/2-1/20=9/20