A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16, 24,... Find the explicit formula for an, where n ≥ 1. -2 1 4 7 4. Find an, where n ≥ 1. 5 10 15 20 5. 5, 8, 17, 44, 125,...Find the recurrence formula for an, where n ≥ 1.

Q: What is the matrix F was applied to the vectors [J] transformation? F = in the picture in order to…

A: Matrix of a linear transformation : Let T : U → V  be a linear transformation from the vector space…

Q: Time (sec) | Frequency Refer to the table summarizing service times (seconds) of dinners at a fast…

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Q: 200! 7) 198!

A: we know thatn!=n×(n-1)×(n-2)×......×1

Q: 4. Evaluate - 2 sin(32) dr.

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Q: -8 -9 4 -2 -6 5 -7 0 2 4 -5 -9 -10 -1 8 -3 6 -4 Add Work

A: You can only multiply matrices if the number of columns of the first matrix is the same as the…

Q: (4 -1 1 (b).| 3 7 - 2 X2 1 3 1 II

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Q: What does p̂ denote, what does p denote, and what is the difference between them?

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Q: Match the values of r to the scatterplots. Scatterplot 1, r= Scatterplot 2, r= Scatterplot 3, r=…

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Q: (A) Estimate the area under the graph of from r f(x) = 3x³ +4 1 to z = 4, first using 5…

A: As per guidelines solving only the first 4 subparts namely5 rectangles and right endpoints.10…

Q: (b) If P ú prime PXa and Pl ab. show that Pib using linear combination What ĥ c a; P) ?

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Q: Let A {500, f, x²} and B {x3, f}. Express A x B and P(B) in roster notation.

A: Cartesian product of two sets, say  P and Q is defined as P×Q={(a, b) : a∈P, b∈Q}. Using the above…

Q: (1 point) Suppose that What is the value of A? -1* 2 5 1 4 5 3 3 1 8 5 1 3 1 1 A 1 -2 -3 -5 -5 -1 -1…

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Q: Transformation of Ax for: A = [3   1                              x = [2       2    -4]…

A: We have  A=312-4, x=21 Transformation  Tx=Ax

Q: -1 -4 2 -2 -2 2 If A -4 -1 1 and B = 1 -4 4 then %3D -4 -4 1 2 -2 -4 ЗА - 2B — and | AT

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Q: Sx -1 xtan xdx

A: Solution of given question is written in below steps.

Q: 4 2- -7 -6 5 -4 -3 -2 -1 I 2 34 5 6 7 -2 -3 -4 -5 f( – 3) = 6

A: Given function is a piecewise  continuous function and also discontinuous at X=-3

Q: 1 1 2 5 -5 1 -2 2 -3 5 -1 -1 2

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Q: 5 -4 -2 3 2 2.) -1 6 -5 1 -31 7 4 -7 1

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Q: (A) Estimate the area under the graph of f(x) = 3x³ +4 from z = -1 to z= 4, first using 5…

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Q: Which is a true statement? O a? - 6 = (a + b)(a – b) ○ a -ド= (a-b)(a-b) O a? + b? = (a - b)(a – b)…

A: Given query is to find the correct statement.

Q: M Phove that (A nB) <Ã UB

A: Introduction:  A set is nothing but a collection of objects. All the objects must be well-defined. A…

Q: Σeksin (2-k)

A: The given equation is as follows:∑eksin(2−k) There is no unique solution to the given problem…

Q: linear Combination write of vi,V2,V3 as Vz (2,7,10),V,=(1,2,3),V2=(1,3,5), V3 =(!,s,9) %3D

A: Consider the given values. V=2,7,10V1=1,2,3V2=1,3,5V3=1,5,9 Let's the linear combination of the…

Q: 2. VI MIN

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Q: orphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy…

A: GivenMean(μ)=43standard deviation(σ)=9

Q: Student 1 -234567 X 90 87 85 85 95 96 82 85 87 89 90 92 94 80 75 4.3 1.3 -0.7 -0.7 9.3 10.3 -3. -7.…

A: In Xi-X̄ column, X̄ is the mean of sample values of X.  X̄= ΣXi/n

Q: VI - Ja lim

A: We rationalize the numerator

Q: Find |ATI, JA21, |AAT|, |2A|, and |A¬1. 5 -7 A = 4

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Q: Sketch a graph that models the given situation. The distance that a boat is from a harbor if the…

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Q: If an = n+ 3", n > 0 then choose the correct option a3 = 2a2 – ao +7 az = 2a2 + ao –7 az = 2a2 + a1…

A: Recurrence relation

Q: 5- The sum of A and B is less than the product of A and B. a- A+B(A*B) C- (A+B)<(A/B) d- (A+B)<(A*B)

A: Solution

Q: II 10. Statements Rease 10(1-) = 8 %3D 10(1–) _ 8 10 10 8 10 %3D 1 = ÷+ 7.

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Q: 42 25

A: Example 1 The given triangle is a right angled triangle. Using trigonometric ratios we get, x/25 =…

Q: Which graph shows a line that contalns tne poilnts Ax) 4 1 6. 7 3 -4 -54-3-2-11 2 3 5. 4-3-2-11 1 Ž…

A: The given table  indicates that for the value of x=4 the value of f(x)=0 i.e. y=0…

Q: 9 -8 If A = -8 -7 Then A-1 = %3D

A: I have used augmented matrix method to find the inverse as well as the determinant method to find…