Give a recursive definition of the following sequences {a,}, n = 1,2, 3, ..... Put the appropriate letter next to the corresponding sequence. 1. a, = 6" 2. а, 3D бп + 1 3. а, 3D бп 4. а, 3D 6 a) an+1 = an + 6 for n > 1 and a¡ = 6 b) an+1 = an for n > 1 and a¡ = 6 c) an+1 = an + 6 for n > 1 and aj = 7 d) an+1 = 6a, for n > 1 and aj = 6

Q: Give a recursive definition of the following sequences {an},n = 1,2, 3, ..... Put the appropriate…

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Q: 14. 1,3,9, Type of Sequence: General Form:

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: Write the first five terms of the sequence defined recursively. a1 = 43,    ak + 1 = ak − 8 a1?…

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Q: What are the terms a0, a1, a2, and a3 of the sequence an = 3"+ (-3)" Select one: a. 2,0, 18, 0 b.…

A: The given sequence is an=3n+-3n We have to find the first 4 terms of the sequence that is  a0 , a1…

Q: -) Determine the first six terms of the sequence defined by t₁ = -5 and t = 3t-1 + 8. 5, 23, -61,…

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Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: What are the first 5 terms in the sequence aj = 5 An = an-1 +4

A: Given sequence is  a1=5an=an-1+4

Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: What is the 9th term of the sequence 6, 42, 294, 2058, ..?

A: First Term = 6 Second Term = 42 Third Term = 294 Fourth Term = 2058   Common Ratio = 42/6 = 7 The…

Q: Give a recursive definition of the following sequences {a,},n = 1,2, 3, ..... Put the appropriate…

A: 1)   an=6n an=6n .............(1) To find value at n=1 a1=61=6 to find n+1 term put n+1 an+1=6(n+1)…

Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: What are the next three terms of the sequence 256, 64, 16, 4, 1? O 1/4, 1/16,1/64 O -4, -16, -64 O…

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: 5. Evaluate Sl. x2 dV where is the solid that lies within the cylinder x² + y² = 4 above the plane z…

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Q: Find first five terms of the sequence. An Зп + 1 bn = (-1)"n² 2n Сп n ||

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Q: A sequence {an}-1 satisfies a1 = 1, a2 = 1 and n=1 4 max {am-1, an-2} – min {an-1, an-2} An = for n…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: Find the recursive formula of the following sequence. (4, 7, 15, 24, . ... a1 = 4, a, = an-1+ 3(n +…

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Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

Q: 6. What are the terms ao, a1, a2, and az of the sequence {an} where an equals а. (-2)" b. 3 c. 7+ 4"…

A: We have to find a0 , a1 , a2 , a3 of given sequences.

Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

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Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: 6. Find the 25th term of the sequence -1, 3, 9, ... -

A: The formula for nth term of a GP is given as follows where a is the first term of GP r is the common…