1 divided by (2 times 6) + 1 divided by (6 times 10) + 1 divided by (10 times 14) +. + 1 divided by (42 times 46)=

1 divided by (2 times 6) + 1 divided by (6 times 10) + 1 divided by (10 times 14) +. + 1 divided by (42 times 46)=

1 divided by (2 times 6) + 1 divided by (6 times 10) + 1 divided by (10 times 14) +. + 1 divided by (42 times 46) = 1 / 4 (1 / 2-1 / 6 + 1 / 6 + 1 / 10-1 / 10-1 / 14 1/42-1/46)=1/4(1/2-1/46)=1/4*22/46=11/92