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The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc. The n th partial sum is given by a simple formula: This equation was known to the Pythagoreans as early as the sixth century BCE. [ 5 ] Numbers of this form are called triangular numbers, because they can be arranged as an equilateral triangle.
The idea becomes clearer by considering the general series 1 − 2 x + 3 x2 − 4 x3 + 5 x4 − 6 x5 + &c. that arises while expanding the expression 1⁄(1+x)2, which this series is indeed equal to after we set x = 1.
In the classroom setting, worksheets usually refer to a loose sheet of paper with questions or exercises for students to complete and record answers. [2] They are used, to some degree, in most subjects, and have widespread use in the math curriculum where there are two major types. The first type of math worksheet contains a collection of similar math problems or exercises. These are intended ...
Beginner Books is the Random House imprint for young children ages 3–9, co-founded by Phyllis Cerf with Ted Geisel, more often known as Dr. Seuss, and his wife Helen Palmer Geisel.
Trachtenberg system. The Trachtenberg system is a system of rapid mental calculation. The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp.
This is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences.
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