Geometric series - Study guides, Class notes & Summaries

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OCR a-level maths Question Fully Solved.
  • OCR a-level maths Question Fully Solved.

  • Exam (elaborations) • 28 pages • 2024
  • - Sn = n/2 (2a + (n-1)d) - Sn = n/2 (a + l) where a is the first term and l is the last term - correct answer formula of an arithmetic series the sum of the terms of an arithmetic sequence - correct answer what is an arithmetic series - Un = a + (n-1)d - a = the first term - d = the common difference - correct answer nth term of an arithmetic sequence - Un = ar^(n-1) - a = first term - r = common ratio - correct answer nth term of a geometric sequence - Sn = a(1-r^n) / 1-r - Sn...
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A-level MATHEMATICS Paper 3
  • A-level MATHEMATICS Paper 3

  • Exam (elaborations) • 47 pages • 2024
  • A-level MATHEMATICS Paper 3 Thursday 20 June 2024 Afternoon Time allowed: 2 hours Materials  You must have the AQA Formulae for A‑level Mathematics booklet.  You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions  Use black ink or black ball‑point pen. Pencil should only be used for drawing.  Fill in the boxes at the top of this page.  Answer all questions.  You must answer each question in the spac...
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QMB 3200 Final Exam Questions and  Answers 100% Pass
  • QMB 3200 Final Exam Questions and Answers 100% Pass

  • Exam (elaborations) • 23 pages • 2024
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  • QMB 3200 Final Exam Questions and Answers 100% Pass Suppose we have the following data: 12, 17, 13, 25, 16, 21, 30, 14, 16, and 18. To find the 10% trimmed mean, what numbers should be deleted from the calculation? 12 and 30 Which of the following is not resistant to the outliers in a data set? a. Median b. Mean c. Variance d. Interquartile range b. mean The pth percentile is a value such that at least p percent of the observations are: less than or equal to this value. Wh...
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Download this complete, and updated CCEA AS2 Chemistry definitons|GUARANTEED SUCCESS
  • Download this complete, and updated CCEA AS2 Chemistry definitons|GUARANTEED SUCCESS

  • Exam (elaborations) • 12 pages • 2024
  • Empirical formula A formula which shows the simplest whole number ratio of atoms of each element in a compound Molecular formula A formula which shows the actual number of atoms of each element in a molecule Previous Play Next Rewind 10 seconds Move forward 10 seconds Unmute 0:00 / 0:15 Full screen Brainpower Read More Molar Gas Volume The volume of one mole of gas under specified conditions of temperature and pressure e.g 293K and 1 atmosphere pressure Homo...
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COTA EXAM 4 Part 1 | 100 Questions with 100% Correct Answers | Verified | Latest Update 2024
  • COTA EXAM 4 Part 1 | 100 Questions with 100% Correct Answers | Verified | Latest Update 2024

  • Exam (elaborations) • 13 pages • 2023
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  • A child is lacing a series of geometric beads from a stimulus card and is unable to identify a moonshaped bead when it is turned sideways on the table. This MOST likely indicates difficulty with: - Form constancy perception An individual with underreactive sensory processing has been referred to OT. Based on a sensory integration frame of reference, activities for this individual should have which of the following facilitory characteristics? - Arhythmic and unexpected The COTA is working wi...
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OCR a-level maths
  • OCR a-level maths

  • Exam (elaborations) • 19 pages • 2023
  • formula of an arithmetic series - ANS-- Sn = n/2 (2a + (n-1)d) - Sn = n/2 (a + l) where a is the first term and l is the last term what is an arithmetic series - ANS-the sum of the terms of an arithmetic sequence nth term of an arithmetic sequence - ANS-- Un = a + (n-1)d - a = the first term - d = the common difference nth term of a geometric sequence - ANS-- Un = ar^(n-1) - a = first term - r = common ratio formula of first n terms of a geometric sequence - ANS-- Sn = a(1-r^n) / 1-r -...
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OCR 2023 GCE MATHEMATICS B MEI H640/01: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
  • OCR 2023 GCE MATHEMATICS B MEI H640/01: PURE MATHEMATICS AND MECHANICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

  • Exam (elaborations) • 62 pages • 2024
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  • 2 © OCR 2023 H640/01 Jun23 = r n r Kr O e n+1 2 Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a+lh = 1 n"2a+^n-1hd, n 2 2 Geometric series Sn = a^1-r nh 1 -r a 3 1 -r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+ b n ^n e Nh, where nC = C = J n N = L P n! r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n - 1hf^n -r+1h x r +f ^x 1 1, n e Rh 2! Differentiation f^x...
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OCR 2023 GCE MATHEMATICS B MEI H640/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
  • OCR 2023 GCE MATHEMATICS B MEI H640/02: PURE MATHEMATICS AND STATISTICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

  • Exam (elaborations) • 66 pages • 2024
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  • 2 © OCR 2023 H640/02 Jun23 ^ h = e n+1 2 n 2 2 L P Formulae A Level Mathematics B (MEI) (H640) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n n e N , n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f x 1 1, n e R 2! Differentiation...
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CFA Level 1 Questions | Questions with 100% Correct Answers | Updated & Verified
  • CFA Level 1 Questions | Questions with 100% Correct Answers | Updated & Verified

  • Exam (elaborations) • 9 pages • 2023
  • CFA Level 1 Questions | Questions with 100% Correct Answers | Updated & Verified What are the 4 types of measurement scales? - 1. Nominal Scales 2. Ordinal Scales (Assigned to a category) 3. Interval Scales (Relative ranking) 4. Ratio Scales (Equal differences between scale values) NOIR When do we use geometric and arithmetic means to analyze investment returns? - Arithmetic Mean: To estimate next year's return Geometric Mean: Measure of past performance What are the 3 different t...
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OCR 2023 GCE MATHEMATICS A H240/01: PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)
  • OCR 2023 GCE MATHEMATICS A H240/01: PURE MATHEMATICS A LEVEL QUESTION PAPER & MARK SCHEME (MERGED)

  • Exam (elaborations) • 68 pages • 2024
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  • 2 © OCR 2023 H240/01 Jun23 ^ h = n+1 2 n 2 2 L P 2! r! dx dx Formulae A Level Mathematics A (H240) Arithmetic series S = 1 n^a + lh = 1 n"2a +^n - 1hd, Geometric series Sn = a 1-r n 1 -r a 3 1-r for r 1 1 Binomial series ^a+bh n = a n + nC1 a n-1 b+ nC2 a n-2 b 2 +f+ nCr a n-r b r +f+b n ^n e Nh n J n N n! where Cr = n Cr = K r O = r!^n -rh! ^1+xh n = 1+nx+ n^n -1h x 2 +f+ n^n -1hf^n -r+1h x r +f ^ x 1 1,n e Rh Differentiati...
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