- #1
mathshead
what the name of the numbers 1+ (1/2) + (1/3) + (1/4)+...+...+...(1/n)...
can something one tell me wheather it has a finit sum or not
can something one tell me wheather it has a finit sum or not
Originally posted by STAii
...then i was told "since the numbers are getting smaller and smaller, they add up to give a number (not infinity)".
Originally posted by HallsofIvy
One idea of "how fast" numbers in an infinite series must get smaller is the "ratio test":
The series [SIGMA] a_{n} converges if
lim |a_{n}|/|a_{n+1} is less than 1
"What these number call" are a series of numbers that are used to represent quantities or values. They can be integers, decimals, fractions, or even imaginary numbers.
These numbers are different from regular numbers because they have specific names and purposes. For example, natural numbers are used for counting, while rational numbers can represent fractions or decimals.
Some examples of "What these number call" include prime numbers, composite numbers, real numbers, and complex numbers. Other examples include irrational numbers, whole numbers, and even negative numbers.
"What these number call" are essential in science because they allow us to quantify and measure various physical phenomena. They are used in calculations, formulas, and scientific theories to represent and predict the behavior of natural systems and processes.
Yes, there are many special properties and rules for "What these number call" that scientists use in their work. For example, the commutative, associative, and distributive properties are important in algebra, and the laws of exponents are crucial in understanding exponential growth and decay.