1. List the first 5 terms of the sequence. 2. Graph the value of each term as a function of the term number.

Q: Find a general term (as a function of the variable n) for the sequence…

A: Given term of sequence a1=65a2=3625a3=216125a4=1296625

Q: write the first five terms of the geometric sequence.

A: The nth term of a geometric series with common ratio r and first term a is given as an = arn-1

Q: What is the function that defines the following sequence?10,12,14,16,18

A: given sequence:-     10, 12, 14, 16, 18 This is an arithmetic sequence  since there is a common…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 8.…

A:

Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

A:

Q: 25. Write the nth term of the sequence 2, 8/3, 32/9, 128/27... as a function of n.

A: Given,          2,  83, 329. 12827, . .  .

Q: Find the common difference d and the nth term an of the arithmetic sequence

A:

Q: Find thr next three term in the sequence. You must show your work 2, 6, 11, 17, _, _, _

A: To find the next terms of the sequence, first check the pattern of getting successive term from the…

Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

A:

Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: the

A:

Q: 2'4

A: Given geometric sequence is : 1, 12, 14, ....

Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: 3. Find $20 for the arithmetic sequence whose first term is a1 = 3 and whose common difference is d…

A: We have to determine s20 arithmetic sequence

Q: Write the first five terms of the arithmetic sequence. a 1 = 13; d = -4 9, 5, 1, -3, -7 13, 9, 5, 1,…

A: Given,

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: 4.

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Write a function to model the geometric sequence in the table to the right. nan 181 2 27 3 9 4 3 5 1

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Q: f) Write the geometric sequence with positive terms whose second term is 9 and fourth term is 1.

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Q: Find the nth term of the geometric sequence whose initial term is a1 =1 and common ratio is 5. an…

A: The general term of a geometric series is given by:an=a1rn-1where a1=first term and r=common ratio.

Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: write the first five terms of the geometric sequence a, =1, r=Ź %3D

A:

Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

A:

Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a general term (as a function of the variable n) for the sequence {a1, a2, az, a4, ...} =…

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Q: Find the 7 term of the geometric sequence:

A:

Q: Find the 15"" term of the arithmetic sequence whose common difference is d =6 and whose first term…

A: an = a  + (n-1)d

Q: Find the 22nd term of the arithmetic sequence whose common difference is d= -5 and whose first term…

A: We have to find 22nd term of the arithmetic sequence whose common difference is d=-5 and first term…

Q: Find a general term (as a function of the variable n) for the sequence…

A:

Q: Describe a real life situation that can be represented by a geometric sequence with a common ratio…

A: To describe a real life situation that can be represented by a geometric sequence with a given…

Q: write the first five terms of the geometric sequence. a,=3, r=3

A: Given : a1 = 3 r = 3

Q: Which of the following is an increasing arithmetic sequence? -2, -4, -6, -8, .. -12, -10, -8, -6,…

A: Please refer the attached image for complete solution.

Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

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: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: A student studying to be a veterinarian's assistant keeps track of a kitten's weight each week for a…

A: a) The weights are 0.6 , 0.88, 1.16 , 1.44 , 1.72 common difference between them is = 0.88-0.6= 1.16…

Q: Зп —1 a, = п+2

A: The given sequence is an =3n-1n+2 We have to show that the sequence is eventually increasing or…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 4.5 and common ratio is 6. an…

A:

Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 9. an…

A:

Q: Use the graph to identify the common ratio of the geometric sequence. 15 10 -5

A: Answer

Q: Which of the following is a geometric sequence? O3, 5, 8, 11, ... O3, 5, 7, 9, ... O 64, 32, 16, 8,…

A: Given: Sn=3, 5, 8, 11,...Sn=3, 5, 7, 9,...Sn=64, 32, 16, 8,...Sn=-6, -8, -10,....

Q: Write an equation for each arithmetic sequence represented by the tables below.

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Q: Which of the following is an arithmetic sequence? O 12, 15, 20, 27, .. о-1.5, —1, O -1.5, –1, – ,…

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Q: find the the first terms of an arithmetic sequence that starts with -20 and has a rate of change 5

A: First term, a = -20 Common difference, d = 5

Q: Graph the first six terms of a sequence where a, -10 and d= 3. 1, -10, 2-7. 3 -4, 14 -. 0. 2. n. 0…

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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: Graph the first five terms of the arithmetic sequence that has an a1 value of 1 and a common…

A: The general form of sequence,  a1, a1+d, a1+2d,.... where, a1-first term, d-common difference. we…

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.