£28 
Mr . Morgan on Survivorships. 
however necessary to observe, that in the abovementioned series 
JL %a '-\-a"+ the last term, (—) by supposing 
the whole series = a -=f, is taken = a*, and therefore the diffe- 
rence between Y and the probability of B's dying after A, is 
not exactly expressed above. Regard has been had to this 
circumstance in the following table, in all cases where the age 
of the eldest life exceeds 86 years. But under that age it is 
omitted, as the expression ^becomes then true to four places 
of decimals, and of consequence sufficiently correct for any 
useful purpose. 
