The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, what is the first term?

Q: alculate the next term in the geometric sequence that is calculated with a ratio of 24 if the…

A: Definition used -                   Geometric sequence -                          It is a sequence…

Q: The sum of the first n terms of a geometric sequence is 341. If aj = and a4 , what is the value of…

A: 1. Geometric progression (GP) is a type of sequence where each succeeding term is produced by…

Q: Write the first five terms of the geometric sequence whose first term is 5, and whose common ratio…

A: Given, the first term is 5 and common ratio is 3.

Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Find the sixth term of the geometric sequence withfirst term 10 and common ratio 3.

A: We have to find 6th term of the geometric sequence where first term is 10 and common ratio is 3. We…

Q: Find the 12th term of the geometric sequence if the first term is 2 and common difference is 3.

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Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

A: Here we have to find the common ratio of the geometric sequence whose first term is 27 and fourth…

Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

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Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

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Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 7 a = 4, r = -

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Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

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Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

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Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

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Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...

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Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

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Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…

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Q: the 10th term of an arithmetic sequence is -4 and the 16th term is 47. what is the 11th term

A: Given  10th term of arithmetic sequence is -4 and 16th term of arithmetic sequence is 47.

Q: what is the 1st term of the arithmetic sequence if the 9th term is 84 and the 13th term is 44?

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

Q: Find the infinite sum of the geometric sequence with a = 5, r = 4 if it exists. %3D 8

A: Given, a=5 r=4/7 S∞=?

Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

Q: Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4.

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Q: Find the 8th term of the geometric sequence 2, –10, 50, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…

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Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: Write the first six terms of the geometric sequence with first term 6 and common ratio 1/3.

A: Given a geometric sequence with the first term a1 and the common ratio r , the nth (or general) term…

Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...

A: The first term is, a1 = 6  &, The common ratio is, r = - 5

Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.

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Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: Write the first five terms of the geometric sequence whose first term is 6, and whose common ratio…

A: For the given geometric sequence, we have the first term is 6 and the common ratio is 3 We have to…

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

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Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

Q: Find the sum of the first 7 terms of the Geometric Sequence 3, 6, 12, 24, …

A: We can solve the problem by geometric progression rules.

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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Q: What are the first five terms of a geometric sequence with a = 3 and r = 2?

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Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…