The common factor of the geometric sequence an = 3.5n (Bn) is the first term of the 1 ərithm etic If Ôg= b26s what is bg? sequence. %3D

Q: The general term of a sequence is given an = n2 + 5. Determine whether the sequence is arithmetic,…

A: Concept: The sequence is said to be arithmetic when the common difference between the successive…

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: The general term of a sequence is given an = n2 - 3. Determine whether the sequence is arithmetic,…

A: We have the general term as: an=n2-3 Now,  Finding the first four terms for the given sequence:…

Q: Find the 12tn term of the arithmetic sequence 9, 7, 5, .. Answer:

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: Find the missing terms of the sequence and determine if the sequence is arithmetic,

A: Sequence is said to be geometric when it has common ratio and arithmetic when it has common…

Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

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Q: Write the first 4 terms of the sequence. a = 7, a, = 3 an – 1 + 8, for n > 1 What is the first term?…

A: Given the sequence  a1 = 7  an = 3an-1 + 8   for n > 1 We need to find first four terms of given…

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

Q: Find a 8 of a geometric sequence if the first few terms of the sequence are given by -1,3,-9,27,...…

A:

Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. 7,…

A: Given the pattern of terms  7, -7, 7, -7, 7, -7, 7, -7,..... Since here only sign changing as we…

Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: An arithmetic sequence is given. Find the common differenc {3n - 8} What is the value of the common…

A: From the given information. The nth term of arithmetic sequence is tn=3n-8.

Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

Q: Write an equation for the nth term of the given arithmetic

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Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

A:

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: we have to write the first four terms of the given sequence whose general term is given as an=n2n!

Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: rd Find the 23' term of the arithmetic sequence whose common difference is d=3 and whose first term…

A: We know that nth term of an arthmetic series is given by - an = a1 + (n-1)d. Here a1 = first term ;…

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

A:

Q: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.

A: nth term of a geometric sequence  an = arn-1    a3 = 9 r = 3/2

Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

A:

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: The first term of a geometric sequence is 2100. The common ratio of the sequence is-0.I. 0.1. What…

A:

Q: The general term of a sequence is given an = 2n.Determine whether the sequence is arithmetic,…

A: Given that, an=2n

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: 14, 11, 8, 5 ,...To find:da5ana100

Q: Find the eigth term of a sequence 3,6,12

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Q: In the geometric sequence 3, 12, 48,.. which term is 196 608? * Your answer

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

A: Sequence is,  {5, 1, 0.2, 0.04, ....... }    Hence,  Ratio of T2 and T1  =  1/5  Ratio of T3 and T2…

Q: The general term of a sequence is given an = (1/2)n. Determine whether the sequence is arithmetic,…

A: To Determine: whether the sequence is arithmetic, geometric, or neither. If the sequence is…

Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

A:

Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

A:

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: Find the specified term of the geometric sequence. 5 agi a2 = 5, as 64 Need Help? Read It Watch It

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Q: If the 10th term of a geometric sequence is 243 times larger than the 5th term, then what is the…

A: We have to find

Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

A:

Q: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

A:

Q: The general term of a sequence is given an = n2 - 3.Determine whether the sequence is arithmetic,…

A:

Q: The general term of a sequence is given an = n - 3. Determine whether the sequence is arithmetic,…

A: The general term of a sequence is an=n-3. This implies that,…

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

A:

Q: Find the indicated term of the sequence whose nth term is given by the formula. 3n a15 315 = Need…

A: If the nth term (an) of a sequence is given then to find a term, put the value of n in an.

Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

A:

Q: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

A: The first three terms of a geometric sequence are k - 1, 6, and 3k. a.) Find the possible values of…

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: The general term of a sequence is given as ,an=n2n!. To find the first four terms of the given…

Q: The common factor of the geometric sequence an= 3.53n is the first term of the arithmetic sequence…

A: Solution-

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.