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If the sequence of these partial sums {S n} converges to L, then the sum of the series converges to L. If {S n} diverges, then the sum of the series diverges. Operations on Convergent Series. If a n = A, and b n = B, then the following also converge as indicated: ca n = cA (a n + b n) = A + B

# Identifying and graphing sequences 4.1 answers

• What is Geometric Sequence? Unlike arithmetic, in geometric sequence the ratio between consecutive terms remains constant while in arithmetic, consecutive terms varies. Example: Determine the geometric sequence, if so, identify the common ratio. 1, -6, 36, -216; Answer: Yes, it is a geometric sequence and the common ratio is 6. 2, 4, 6, 8
• 4.1.3 . Identify . parts A and B, and regions C, E and F. Identify the outer layer D and name ONE function thereof. State the role of the fatty tissue surrounding the kidney. (5) (2) (1) (8) 4.2 Study the photographs below of different parts of the same plant that you studied. Photo 1 Photo 2
• Give an $O(n^2)$-time algorithm to find the longest monotonically increasing subsequence of a sequence of $n$ numbers. Given a list of numbers $L$, make a copy of $L$ called $L'$ and then sort $L'$.
• Graph of Arithmetic, Geometric and Arithmetic-Geometric Progressions History Note Most of the stuff on this page was known over 2000 years ago by the Ancient Egyptians and Babylonians. The sums were mentions in Euclid's Elements (about 2,300 years ago). Ken Ward's Mathematics Pages
• Presentation on theme: "Identifying and Graphing Sequences"— Presentation transcript Which term is 125? Justify your answer. Your-Turn #1 Find the 15th term of the sequence defined by the explicit 10 Explain 2B Write the first 4 terms of the sequence defined by the recursive rule. n f(n).

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• In Exercises 27–30, use Theorem 4 to determine the limit of the sequence. 27. an = 4 + 1 n solution We have lim n→∞ 4 + 1 n = lim x→∞ 4 + 1 x = 4 Since √ x is a continuous function for x>0, Theorem 4 tells us that lim n→∞ 4 + 1 n = lim n→∞ 4 + 1 n = √ 4 = 2 29. an a=ncos= −e41n/(3n+9) n3 2n3 +1 solution We have lim n ...
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• of partitioning its vertex set, yet it is easier to simply identify an odd-length cycle (such as, for example, [1,2,4,1]. Q 3: Draw the complement of the following two graphs: Q 4: Prove that for any graph, the sum of its vertex degrees is even. A simple answer is that we already know that for a graph G = (V, E), we have
• Sep 21, 2019 · Educreations is a community where anyone can teach what they know and learn what they don't. Our software turns any iPad or web browser into a recordable, interactive whiteboard, making it easy for teachers and experts to create engaging video lessons and share them on the web.
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• d. Is 378 a term of sequence A? Justify your answer. e. Is 1 4 a term of sequence B? Justify your answer. To determine the type of sequence for A and B above, we have to look at the growth of each sequence. A: –8, –5, –2, 1, … \ / \ / \ / +3 +3 +3 Sequence A is made (generated) by adding three to each term to get the next term. When each
• What is Geometric Sequence? Unlike arithmetic, in geometric sequence the ratio between consecutive terms remains constant while in arithmetic, consecutive terms varies. Example: Determine the geometric sequence, if so, identify the common ratio. 1, -6, 36, -216; Answer: Yes, it is a geometric sequence and the common ratio is 6. 2, 4, 6, 8
• Practice: Interpreting graphs of functions This is the currently selected item. Math · 8th grade · Linear equations and functions · Linear and nonlinear functions
• Instant access to millions of Study Resources, Course Notes, Test Prep, 24/7 Homework Help, Tutors, and more. Learn, teach, and study with Course Hero. Get unstuck.
• It also might be good to know the sequence in which the polar graphs are drawn; in other words, from 0 to $$2\pi$$, which parts of the graphs are drawn before the other graphs. (Check it out on a graphing calculator, where you can see it!)
• Read 17 answers by scientists with 9 recommendations from their colleagues to the question asked by Lutimba Stuart on Feb 3, 2014. However, If you just have the product of your gene and the raw genome sequence, you can align it with BLAT, for instance.
• Feb 08, 2018 · Answer: The first differences are -2, -4, -6, -8, and the second difference are -2. Therefore since half of -2 is -1 the first term will be -n^2. Subtracting -n^2 from the sequence gives 4,5,6,7,8 which has nth term n + 3.
• The answer is yes. The energy that was required to lift the wrecking ball did not disappear, but is now stored in the wrecking ball by virtue of its position and the force of gravity acting on it. This type of energy is called potential energy ( Figure 4.5 ).
• Feb 08, 2018 · Answer: The first differences are -2, -4, -6, -8, and the second difference are -2. Therefore since half of -2 is -1 the first term will be -n^2. Subtracting -n^2 from the sequence gives 4,5,6,7,8 which has nth term n + 3.
• Functions can always be graphed and different kinds of functions will produce different looking graphs. Now let's use our strategy of plugging in numbers again. Our answer choices are between A and D, so let us first test A with the second ordered pair.
• In this method, equivalence classes (for input values) are identified such that each member of the class causes the same kind of processing and output to occur. The values at the extremes (start/end values or lower/upper-end values) of such class are known as Boundary values.
• The graph of f is a vertical stretch by a factor of 4 of the graph of g. The y-intercept of the graph of f, 4, is above the y-intercept of the graph of g, 1. From the graph of f, you can see that the domain is all real numbers and the range is y > 0. Graphing y = abx When 0 < b < 1 Graph f (x) = − ( — 1 2) x
• the three terms in the sequence after the last one given. 19) a 1 = 3 5, d = − 1 3 20) a 1 = 39 , d = −5 21) a 1 = −26 , d = 200 22) a 1 = −9.2 , d = 0.9 Given a term in an arithmetic sequence and the common difference find the recursive formula and the three terms in the sequence after the last one given. 23) a 21 = −1.4 , d = 0.6 24 ...
• of partitioning its vertex set, yet it is easier to simply identify an odd-length cycle (such as, for example, [1,2,4,1]. Q 3: Draw the complement of the following two graphs: Q 4: Prove that for any graph, the sum of its vertex degrees is even. A simple answer is that we already know that for a graph G = (V, E), we have
• Identifying and Graphing Sequences - Lesson 4.1 (Part 1) Graphing Sequences - Lesson 4.1 (Part 2) Constructing Arithmetic Sequences - Lesson 4.2 (Part 1) Constructing and Writing Arithmetic Sequences - Lesson 4.2 (Part 2) Modeling with Arithmetic Sequences - Lesson 4.3 (Part 1) More Modeling with an Arithmetic Sequence - Lesson 4.3 (Part 2)
many real solutions the equation has. Support your answer graphically. 41. 2x2 - 3x In Exercises 45 and 46, solve the problem by interpreting the graphs. 45. The graph shows the x-intercept method of solving the equation Identify the function in the graph. In Exercises 63—66, write f + g, f— g, fg, and f/g as sions in x.
EXAMPLE 3: RECOGNIZING PATTERNS GIVEN A GRAPH Identify a pattern by making a table of the inputs and outputs. Include a process column. a) b) EXAMPLE 4: RECOGNIZING A PATTERN IN A SEQUENCE OF INTEGERS Identify a pattern and find the next three numbers in the pattern. a) 2, 4, 8, 16, … b) 4, 8, 12, 16, … c) 5, 25, 125, 625, …
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By the first rule, the 4 and the 6 are significant. However, to make a measurement decision on the 4 (in the hundred's place) and the 6 (in the unit's place) In mathematical operations involving significant figures, the answer is reported in such a way that it reflects the reliability of the least precise operation.

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• Find the tenth term in each sequence. 21) a n = 2n + 1 n3 22) a n = 4n − 1 23) a n = (2n)2 24) a n = (2n − 1)2 Find the first four terms in each sequence. 25) a n = a n − 1 + 10 a 1 = 29 26) a n = a n − 1 ⋅ 2 a 1 = −1 27) a n = a n − 1 + n a 1 = −4 28) a n = 2 + a n − 1 2 a 1 = 10 Find the tenth term in each sequence. 29) a n ...
A function of the form f(x) = mx + b where m and b are some fixed numbers. The names "m" and "b" are traditional. Functions of this kind are called "linear" because their graphs are straight lines: output: The number or value that comes out from a process.
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