This sequence has a difference of 5 between each number. The values of a and d are: a = 3 (the first term) d = 5 (the "common difference") Using the Arithmetic Sequence rule: xn = a + d(n−1) = 3 + 5(n−1) = 3 + 5n − 5 = 5n − 2 So the 9th term is:...
which is defined by a sequence of rational approximations. In addition, an important role has been played by the apparatus of decimal fractions and the use of logarithms, which has broadened the range of operations that could be performed with the required accuracy on real numbers, both irrationa...
of arithmetic as a science, adequate for the study of different types of continuous quantities, was realized only at the end of the 17th century in connection with the incorporation into arithmetic of the concept of the irrational number, which is defined by a sequence of rational approximations...