7). Given the sequence of tiles below: Figure 1 Figure 2 Figure 3 n= 1 n=2 n=3 a) Draw the 5th picture in the sequence. (do not worry about color). (5 points) b) Find a formula for the sum of red and blue tiles in the nth picture. (5 points)

Q: Let (an)nzo be a sequence defined by an=n2²+5

A: The given sequence is an=n2n+5. We have to find the closed formula for the first difference of the…

Q: Refer to the sequence below. How many dots should there be in the next figure? Answer:

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Q: Determine the common difference for the sequence: 13, 17, 21, 25, 29, .. a) -4 b) 5 c) -3 d) 4

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Q: 1.) Given the following images, determine the next picture in the sequence.

A: Given : We can see after the 4th arrow, pattern in the data repeats such that 1 image corresponds…

Q: For the sequence defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D

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Q: The drawings below show the first three diagrams in a sequence. agram 1 Diagram 2 Each diagram is…

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Q: Each successive figure below is made of small triangles like the first one in the sequence.…

A: Given that Each successive figure  is made of small triangles like the first figure is an…

Q: Sum: S12= A) Find the indicated sum. 6 + 9 + 12 + 15 + B) Find the partial sum S₁2 for the…

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Q: I. Find the first three terms of the sequence whose nth term is given by the formula. Show the…

A: We need to determine the first three terms of the given sequence using the given general formula.…

Q: E. In a sequence: a = 3, az = 7, and a, 2a,-1 + a,-2 for n2 3. %3D (12) Find az. (13) Find a4.

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Q: Find in the sequence 3, 7, 11, x... with y as its 9th term. a. b. C. d. е. 11

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Q: Give the next three terms of the sequence. a.) 2,9,16,23,30 b.) 81, 27, 9, 3, 1 c.) 1, 4, 9, 16, 25

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Q: The first figure of the Sierpinski triangle has one shaded triangle. The second figure of the…

A: First figure contains one shaded triangle, second figure contains 3 shaded triangles, third figure…

Q: a) Given the sequence: 5, 9, 13, 17 ... write a simplified expression for t n._ b) Given the…

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Q: What would be the nth term formula for the number of tiles in the nth figure of the sequence? -How…

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Q: 1.) Given the following images, determine the next picture in the sequence.

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Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: Consider the sequence S2 4 6 8 10 12 4'8' 16' 32 .... Write this sequence in the form {an} =1

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Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: 1.) а, — п— 1 %3D n - 2.) аn 1 п+1 4n 3.) аn n+2 4.) аn 3" 5.) а, — 5" — 6 an

A: Recurrence relations are given. One can easily form a sequence from these relations. The problem is…

Q: (a.) is a sequence and a 3, w1 for Saa. What is the general term of this sequence? Ob. 4-3 Od.

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Q: Find the 12th term of the sequence given: a.) arithmetic, t3 = 5, t6 =-1 %3D b.) geometric, t3 = 12,…

A: In this question we have to find the 12th terms of arithmetic and geometric sequence.

Q: Find n if an = 52 belongs to the sequence 1, 2.5, 4, 5.5, 7... 39 а. b. 23 с. 17 d. 35

A: First we know about type of sequence

Q: 1. What is the next number in the sequence 1, 2, 4, 7, 11, ? Find the rule an

A: Given sequence 1 , 2 , 4 , 7 , 11 , ......

Q: Each successive figure below is made of small triangles like the first one in the sequence.…

A: In the first figure there is 1 only, in the second figure there are 4 triangles. In figure three.…

Q: The question says: "Find the first 4 terms and the 100th term of the sequence whose nth term is…

A: Given nth term of the sequence is as below

Q: Which angles are represented by the same point on the unit circle as ? Select all that apply O A 4…

A: We have to find the angles representing same point.

Q: Find the frst five trms in sequences with the following nth terms a. 2n squared + 4 b. 5n + 2 c. 10n…

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Q: 12 3 4 = Write the nth term of the sequence: 2'2 2 2

A: 12,  222,  323,  424, .....