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In mathematics, a telescoping series is a series whose general term is of the form = +, i.e. the difference of two consecutive terms of a sequence (). As a consequence the partial sums of the series only consists of two terms of ( a n ) {\displaystyle (a_{n})} after cancellation.
At the centre of the MYP is the IB Learner Profile, which defines the type of students all the IB programmes (Primary Years Programme (PYP), Middle Years Programme (MYP), and Diploma Programme (DP)) are intended to develop. [7] They are: Caring; Balanced; Open-minded; Knowledgeable; Communicators; Risk-takers; Principled; Reflective; Inquirers ...
A sequence is a function whose domain is a countable, totally ordered set. [2] The domain is usually taken to be the natural numbers , [ 3 ] although it is occasionally convenient to also consider bidirectional sequences indexed by the set of all integers, including negative indices.
To participate in the IB Primary Years Programme, students must attend an authorised IB World School. [4] "A PYP school is expected to implement the programme in an inclusive manner, so that all students in all the grades/year levels in the school or in the primary division of a school are engaged fully with the PYP."
In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression, which is also known as an arithmetic sequence. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.
Theory of Knowledge is a course created by the IB organization and must not be conceived as pure epistemology. This course involves a process of exploring and sharing students' views on "knowledge questions" (an umbrella term for "everything that can be approached from a TOK point of view"), so "there is no end to the valid questions that may arise", "there are many different ways to approach ...
What is Mathematics, Really? Oxford University Press. Sfard, A., 2000, "Symbolizing mathematical reality into being, Or how mathematical discourse and mathematical objects create each other," in Cobb, P., et al., Symbolizing and communicating in mathematics classrooms: Perspectives on discourse, tools and instructional design. Lawrence Erlbaum.
The generalized binomial theorem gives (+) = = = + + +.A proof for this identity can be obtained by showing that it satisfies the differential equation ...