2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2 Determine the value of a,. Show how you found your answer.

Q: Find the next 3 terms of the arithmetic sequence 1, 3,5, 7, ......

A: To find next three terms of arithmetic sequence: 1,3,5,7... Solution: given sequence is: 1,3,5,7...…

Q: Write down the first five terms of the following recursively defined sequence. a₁ = -2; an+1 = -2an…

A: In the given problem it has been given that  a1=-2 an+1=-2an+7 the aim is to find the first five…

Q: 2n - 5 3. Generate the first 4 terms of the sequence from this expression: 5. 1/3 :: ::

A: We have to find first 4 terms of sequence (2n-5)/3

Q: Write the arithmetic sequence -4, – 11, – 18, 25, in the standard form: an

A: Given that

Q: What are the next three terms of the arithmetic sequence −14,−9,−4,1,...?

A:

Q: The 200th term of the sequence 2,5,8,11 is

A:

Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

A:

Q: Determine the value for x which makes the following sequence arithmetic. 2x-1, x+12, 3x-2

A:

Q: Can the sequence 2, −4, 8, −16, 32, … be represented by an exponential function? Why or why not?

A:

Q: Complete each arithmetic sequence with its missing terms. Then state  the common difference for each…

A: Given query is to find common difference.

Q: What is the twelfth term in the sequence an=3n-22

A:

Q: Describe the sequence 5,8,11,14,17,20,..... using: a words b a recursive formula

A: Given sequence is,

Q: Find a11 in the sequence -3, -9, -27, ... A. -177 147              B. -119 683              C.…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.