Der Vortrag „Sequence and Series“ von Edu Pristine ist Bestandteil des Kurses „ARCHIV Foundations of Mathematics “. Der Vortrag ist dabei in folgende Kapitel unterteilt:
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... Operations Sequence and Series Exponential and logarithms ...
... term to first term the sequence is called arithmetic progression If the progression is obtained by multiplying a constant term to first term the sequence is called geometric progression Series –Accumulated ...
... are derived by repeatedly adding on a fixed number d (, known as the common difference) (in above example) – term in given by A n = a + (n-1)d Example: For the progression - 3,1,5,9,13…find the 7th term – 7th term of a progression is given ...
... th term = ar (6 -1) = 3*4 5 =3072 Example 1: If the 5 th and 7 th term of G.P are 32 and 128 find the 9 th term 5 th term of a progression is given by ar (5 -1) =ar 4 = 32 7 th term of a progression is given ...
... Cannot be summed to infinity, because it would keep on increasing or decreasing and would tend to infinity or negative ...
... of infinite series…1/4 +1/8 +1/16 +…..up to infinity Here a = ¼ r= ...