The first term of a geometric sequence is 15, and the 5th term of the sequence is 243 What are the geometric means between these terms? Enter your answer by filling in the boxes to correctly complete the geometric sequence. Enter any fractions as simplified fractions. 15, 243 125

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: Find the sum of the first 9 terms of a geometric progression The sequence is: 4, 8, 16, 32...

A: Given that  The sequence is given  To find the sum of the first 9 terms of the geometric progress

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

A: First term of arithmetic sequence (A.P.) = a1 = 6 Similarly, second term (a2) = 12 Third term (a3) =…

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: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

A: Solution of given question is written in below steps.

Q: 81 The first term of a geometric sequence is 32, and the Sth term of the sequence is 8 What are the…

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Q: Find the first term and the common difference of the arithmetic sequence where the 7t" term is 12…

A: Given: The arithmetic sequence whose 7th term is 12 and the 13th term is 18. To Find: a. The first…

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

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Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

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: 2. The first term of an arithmetic sequence is -15 and the fifth term is 13. Find a40.

A: We can find the answer as below.

Q: Give the first 4 terms of the geometric sequence with a and r = 4 6. Give your answers as reduced…

A: Given: First term of geometric series, a=14 Common ratio, r=6 We have to find first four terms of…

Q: What is the 1st term of the arithmetic sequence if the 9™ term is 84 and the 13th term is 44? а. 164…

A: We have to find first term of the arithmetic sequence if 9th term is 84 and 13th term is 44. We know…

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

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Write an expression that gives the requested term. The 16th term of the geometric sequence with…

A: To determine the 16th term of the series.

Q: Determine the value of the 100th term of the arithmetic sequence 130,123,116,109. Give the answer…

A:

Q: The fifth (5th) and tenth (10th) terms of a geometric sequence are -3/2 and 729/2, respectively.…

A: The nth term of a geometric sequence is given by  an=a1rn-1where a1=first term of the…

Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

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

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Q: Find the common difference and the sum of the first 12 terms of the arithmetic sequence. an = n -…

A: Let's find.

Q: 3a. The first term of a geometric sequence is 36 and the fourth term is 1/6. What is the value of r?…

A: We have to find r

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Solution :-

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

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

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

A: Given series, 2/3, 3/4, 4/5, 5/6.......

Q: When finding the nth term in an arithmetic sequence, how do I solve a sequence with fractions? For…

A: To justify that the seventh term of the given arithmetic sequence is 72/5 (given)

Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

Q: Write an expression for the nth term of the sequence. a. - 2 3 4 5 243 9 b. 3, 2 27 81 а. -- 2 3 4 5…

A: We have to write an expression for the nth term of the sequences. a. -12,23,-34,45,-56,...b.…

Q: Determine whether the sequence is arithmetic, geometric or neither. 0.25, -2, 16, -128, 1024 ...…

A: 0.25  -2   16   -128    1024    .......... this is a geometric sequence  where  first term = 0.25…

Q: 247 73k+3 52k+3 k=123

A: We have to solve given problem:

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 expression of the general term of the sequence given by: 32 2 4 8 16 1, 2'6' 24' 120’ 720

A:

Q: Find the sum of the first 97 terms of the arithmetic sequence: 0, -4, –8, –12,-16,... Answer:

A: It is given that,the arithmetic sequence:    0,-4,-8,-12,-16,...... We have to find sum of first 97…

Q: An arithmetic sequence k starts 4, 13, .... Explain how you would calculate the value of the 5,000th…

A: We can find the 5000th term of the given arithmetic sequence as below.

Q: Find the sum of the indicated number of terms of the geometric sequence. 27 12,9, ,...; n = 5 4.…

A: Consider the geometric sequence 12, 9, 27/4, . . .

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

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Q: Write a formula for the n th term of the geometric sequence. Write your answers as integers or…

A:

Q: the first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth…

A: Given,           The first term in an arithmetic sequence is 9. The fourth term in the sequence is…

Q: The first term of an arithmetic sequence is -12. The common difference of the sequence is 7. What is…

A: We have to find the sum of  first 30 terms of the sequence

Q: 3. Find the 11th term of the sequence -3/2 , -1/4 , 1 , 9/4 , ... Enter your answer

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Q: The sum of the first five terms of the arithmetic sequence is -5 and the sixth term is -10. The sum…

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

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Q: The 7th term of an arithmetic sequence is −44, and the common difference is −4. Find the first term.

A: The nth term of sequence is given by:…

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

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Q: How many terms are there in an arithmetic sequence with a common difference of 4 and with first and…

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Q: 5. The first term of an arithmetic sequence is 12, the last term is 120 and sum of the terms of the…

A:

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

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