First of all, a brief introduction.
The number of terms, a mathematical term, is the total number of terms in an exponential series. In a series, the number of terms is a positive integer, and an infinite series has no terms. Application: the application of item number in arithmetic progression, sum = (item 1+last item) × item number ÷2, item number = (last item-first item) ÷ tolerance+1, first item =2 and item number-last item, last item =2 and \.
Second, the specific situation
1, the formula for calculating the number of terms is the number of terms = (the last term-the first term) ÷ tolerance+1, and the sum of the total terms of the series is the "number of terms" of the series. In a series, the number of terms is a positive integer, and an infinite series has no terms. Series is a function whose domain is a set of positive integers (or its finite set), and is
2. Each number in a series is called an item of this series. The number ranked first is called 1 item of this series (usually also called the first item), the number ranked second is called the second item of this series, and so on, and the number ranked n is called the n item of this series, usually represented by an.
Third, mathematics.
1, mathematics [English: Mathematics, from ancient Greece μ? θξμα(máthēma)； Often abbreviated as math or maths], it is a discipline that studies concepts such as quantity, structure, change, space and information. Mathematics is a general means for human beings to strictly describe and deduce abstract structures and patterns of things, and can be applied to any problems in the real world.
2. All mathematical objects are artificially defined in essence. In this sense, mathematics belongs to formal science, not natural science. Different mathematicians and philosophers have a series of views on the exact scope and definition of mathematics. Mathematics plays an irreplaceable role in the development of human history and social life.
At the same time, it is also an indispensable basic tool for studying and researching modern science and technology. Aristotle defined mathematics as "quantitative mathematics", which lasted until18th century. /kloc-since the 0/9th century, mathematical research has become more and more rigorous, and it has begun to involve abstract topics such as group theory and projection geometry that have no clear relationship with quantity and measurement. Mathematicians and philosophers have begun to put forward various new definitions.