Find the sum of :

1/2 + 1/6+ 1/12+ 1/20+ 1/30 + 1/42+ 1/56 + 1/72 + 1/90 + 1/110 + 1/132

12+16+112+120+130+142+156+172+190+1110+1132=1-12+12-13+13-14+14-15+15-16+16-17+17-18+18-19+19-110+110-111+111-112

=1-112 =1112
 

  • 4

Hi,

(1 / 2) + (1 / 6) + (1 / 12) + (1 / 20) + (1 / 30) + (1 / 42) + (1 / 56) + (1 / 72) + (1 / 90) + (1 / 110) + (1 / 132)

=1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 + 1/132

= 1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(11*12)

= (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... + (1/11 - 1/12)

= 1 - 1/12

= 11/12

=0.91666666666

  • -1

(1 / 2) + (1 / 6) + (1 / 12) + (1 / 20) + (1 / 30) + (1 / 42) + (1 / 56) + (1 / 72) + (1 / 90) + (1 / 110) + (1 / 132)

=1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42 + 1/56 + 1/72 + 1/90 + 1/110 + 1/132= 1/(1*2) + 1/(2*3) + 1/(3*4) + ... + 1/(11*12)= (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... + (1/11 - 1/12)= 1 - 1/12= 11/12

=0.91666666666

  • 4
What are you looking for?