Geometric series - Study guides, Class notes & Summaries
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OCR a-level maths Question Fully Solved.
- Exam (elaborations) • 28 pages • 2024
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- 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
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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
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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
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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 
 
 
 
 
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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
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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
- Exam (elaborations) • 19 pages • 2023
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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)
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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)
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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
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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)
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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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