Consider the sequence 3,-9.27, -81... Part A. Write an explicit formula for the sequence. Part B. Write a recursive formula for the sequence. Part C. Find the 14th term of the sequence.

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

A:

Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

Q: Write the first five terms of the sequence a1 = 3, an = -an-1 + 4. Assume that d represents the…

A: Given, first term a1=3 nth term an=-an-1+4.........(1)

Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

A:

Q: Write the explicit formula for the nth term of the sequence below. 3, 2, ? 3' 3' 5 3 7 4

A: solve and observe the pattern that seuence follow.

Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Write an explicit formula for the sequence represented by the following recursive formula. 4 an = 5…

A:

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, . .…

A:

Q: tell whether the sequence is arithmetic. * 0, -4, -8, -12, -16, ...

A: Given: A following sequence is given 0, -4, -8, -12, -16, ... To Find: To check the given sequence…

Q: Show that the sequence is arithmetic. Find the common difference, and write out the first four…

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: Identify the sequence as either arithmetic or geometric. List the next two terms of the sequence.…

A:

Q: Write a recursive formula for the sequence: {- 8, - 14, – 20, – 26, – 32, .} -8

A:

Q: Write an expression that gives the requested sum. The sum of the first 36 terms of the geometric…

A:

Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: n-1 a, = 5()"- is the formula that represents the sequence: 5, ž, 4 8 5 5 5 %3D O True O False

A:

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

A: The given geometric sequence is: 1,2,4,... There are total 32 terms.

Q: Write a recursive formula for the sequence: -17.5, -32.25, -47, –61.75 Arithmetic or Geometric?

A: Write a recursive formula for the sequence:   -17.5, -32.25, -47, -61.75

Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

A:

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: Write an expression that gives the requested sum. The sum of the first 15 terms of the geometric…

A: Given,

Q: Write the first five terms of the sequence. an (5n – 4) 3.

A: Given : an = 13n5n-4

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

Q: Which formula can be used to describe the sequence below? 27,9.3.1..

A: Given the sequence 27,9,3,1,13 Where a1=27,a2=9,a3=3,a4=1,a5=13

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Plot the first five terms of the sequence: a 6, an an-1+(- 1)"9 Clear All Draw: Dot

A:

Q: Write a formula for the general term (the nth term) of the arithmetic sequence -7, -3, 1, 5,........…

A: Given arithmetic sequence is -7, -3, 1, 5,........ . We have to find the 20th term of the sequence.…

Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

A:

Q: 3. Write an expression for the general term of the sequence 0, 3, 8, 15, 24, .

A: Sequence given is- 0,3,8,15,24,... We have to find the general term for the sequence given. For…

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

A:

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: Write the explicit formula for the sequence, Then find the fifth term in the sequence. O an =…

A: .

Q: Consider the sequence 1, -2, 4, -8, 16, . . . . Find a2/a1, a3/a2, a4/a3, and a5/a4. What do you…

A:

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A:

Q: Write an expression that gives the requested sum. The sum of the first 31 terms of the geometric…

A:

Q: Write the first five terms of the sequence defined 3(-1)"+1 by the formula an- n+1 Your answer Find…

A: We know, the nth term of an arithmetic sequence is given by an = a+(n-1)·d where a is the first…

Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

A:

Q: Write a recursive formula for the sequence: -17.5, -32.25, –47, –61.75 rithmetic or Geometric? V

A: In arithmetic progression common difference is same. And In geometric series common ratio is same

Q: Write the first five terms of the geometric sequence wi and common ratio r. ag = 6, r = - 6. 12' 24'…

A:

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: Write a recursive formula for the sequence: -17.5, -32.25, -47, -61.75 Arithmetic or Geometric?

A: Basics of MATHEMATICS.

Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

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.