Questionbank Topic 1. Sequences and Series‚ Exponentials and The Binomial Theorem 1. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. 2. Find the coefficient of x5 in the expansion of (3x – 2)8. 3. An arithmetic series has five terms. The first term is 2 and the last term is 32. Find the sum of the series. 4. Find the coefficient of a3b4 in the expansion of (5a + b)7. 5. Solve the equation 43x–1 = 1.5625 × 10–2. 6. In an arithmetic sequence‚ the first term is 5 and the
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There are many ways to sequence and order a syllabus: Simple to Complex: the simple topic is presented first. It means that the most difficult topic will be presented at the end of syllabus. There are some Example: While discussing about tenses‚ an English teacher usually teaches simple present tense first‚ then followed by simple Chronology: The topic is presented step by step. Sequencing by chronology may also be constructed based on the time‚ the first to happen should be taught
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Sequence and Rate of Development What is meant by the sequence of development? Sequence of development means that the growth of a child takes place in a structured order with a series of changes or growth that leads to a matured state. The sequence of development depends on events that have previously happened. An example of this is that a baby will first start to roll and at around 6 – 7 months will try to sit up and soon after this they will start to crawl using their arms and legs.
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the graph that the pattern/structure is exponential. This is due to the previous numbers being added in succession with the next‚ resulting in the ‘gap’ between each number to increase. The trend in which the numbers follow is called a Fibonacci sequence and is often found in nature as well. Many instances in which the Fibonacci Series is present in nature are that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers. However some plants such as
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L. V. TARASOV Ii’ A Basic Concepts for High Schools MAR FUBLISHERS MOSCOW: L. V. TARASOV CALCULUS Basic Concepts for High Schools Translated from the Russian by V. KISIN and A. ZILBERMAN MIR PUBLISHERS Moscow PREFACE Many objects are obscure to us not because our perceptions are poor‚ but simply because these objects are outside of the realm of our conceptions. Kosma Prutkov CONFESSION OF THE AUTHOR. My first acquaintance with calculus (or mathematical
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Sequences and Convergence Let x1 ‚ x2 ‚ ...‚ xn ‚ ... denote an infinite sequence of elements of a metric space (S‚ d). We use {xn }∞ n=1 (or simply {xn }) to denote such a sequence. Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0 when n tends to infinity iff: For all > 0‚ there exists N ∈ N such that for all n > N ‚ d(xn ‚ x0 ) < We denote this convergence by lim xn = x0 or simply xn −→ x0 . n→∞ Example 2 Consider the sequence {xn } in R‚ defined by xn = n1 . Then xn
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between rate and sequence Rate/Speed involves a time frame linked to age. Sequence/Order involves patterns and an order of development linked to body‚ mobility and intellectual growth - sequence can include an order that’s both positive and negative - deterioration. Rate - what happens at 1 year old‚ 24 months old‚ 7 years old .. Sequence - how things happen in an expected order‚ sequence ie: breastfed‚ weaned‚ full meals. lie‚ sit‚ crawl - maybe‚ stand‚ walk‚ run.. Sequence‚ rate or age at
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Sequence stratigraphy Sequence stratigraphy is a method of stratigraphic interpretation that combines the chronological order of the accumulation of sediments‚ their stratal architecture and the geometric relationships of their facies to determine depositional setting and predict stratal continuity. The workflow of sequence stratigraphic analysis first identifies the genetic units and bounding surfaces that compose the stratigraphic section in outcrop‚ core‚ well-log and seismic data. The framework
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Abstract ------------------------------------------------- Sequence Stratigraphy a one of a kind tool to have the ability to contain descriptive physical stratification and lithology within a chronological order. Our understanding and application of it developing ever since its acknowledgment by humans from both academia and industry which was first observed as unconformities that were later correlated with a eustatic influence as well as tectonic and depositional/erosional setting. These influences
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The opening title sequence for the movie catch me if you can‚ designed by Olivier Kuntzel and Florence Deygas‚ establishes the era‚ style and tone of the movie’s narrative by its use of 60’s retro inspired graphics‚ flowing type‚ smooth lines and cool jazz. The whole opening sequence is an animation‚ which foreshadows the plot. The sequence features a series of silhouetted designs within a brightly colored geometric plane. Silhouettes of the two main characters move fluidly across the two-dimensional
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