The series proposed for solution in the following paper is—

The law of this series is manifest. Each term is the product of two factorials—the first consisting of p, and the latter of q, factors; and in each successive term, the factors of the first factorial are each diminished by one. and those of the latter increased by one.

The Institute of Actuaries is devoted to the consideration of all questions relating to assurance; and as life assurance occupies a prominent place in the daily occupations of many of its members, it is not surprising that papers on almost every conceivable topic in connection therewith have been read before it. There are, however, various other kinds of assurance well worthy of inquiry, and among these may be classed fire, marine, fidelity, and, last but not least, when we consider the number of persons affected by it, sickness assurance. It is true this last kind of assurance is almost confined to the working classes: they have no wealthy boards of managers; they have no man of science on their staff to direct their proceedings; and they are conducted by individuals who often possess no qualifications for such occupations. For all this, we must admit that every Friendly Society is a mutual Assurance Company; and, compelled by necessity, these Societies have taken up the most difficult and complicated branch of assurance. Not many actuaries have been much occupied with the subject, for it is a branch which does not sufficiently reward those who grapple with its difficulties; we are therefore under the greater obligation to those who have attempted it. Up to the present time, however, I am afraid that the success has not equalled the endeavour.

After the inaugural address of M. Quetelet, the regulations for facilitating the business of the Congress were proposed and agreed to, and M. Ducpetiaux read a list of the papers and correspondence received.

The representatives of the Statistical Departments in the different Governments of Europe proceeded to give a summary view of the position occupied by statistics in their respective countries.

The above is the title to a pamphlet just published by Mr. Thomson. The subject is one of such importance, that we should have been glad had our space permitted to give it in extenso; as it is, we place before our readers the more prominent parts of it. Mr. Thomson says—

“It has been the practice in Scotland for a considerable period to fix the rate of interest on landed securities periodically, with reference to the views expressed on the subject by, or more correctly the decision of, a meeting held in Edinburgh three months before each money-term of Whitsunday and Martinmas.