The 4th term of a geometric progression is and the seventh 16 term is 81 20 find the geometric series

Q: Fin the 9th term in the harmonic sequence 1/11, 1/15, 1/19, 1/23, ..? What is the nth term of the…

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Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

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Q: The first term is 3500, and the common difference is 15. Which term of the sequence is 2795?

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Q: The 5th term of a geometric sequence is 1229 and the 13 th term is 206. Write an equation involving…

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Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given 5n3-2n2

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

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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: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term…

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=…

Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

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Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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Q: The 10th term of an arithmetic progression is 4 and the sum of the first 7 terms is -28. Find the…

A: General formula of nth term of arithmetic progression is an=a+n-1d. 10th term is 4, that is a10=4…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…

A: As per the question,                    We are given the geometric sequence which the pendulum…

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

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Q: The 9th term of a geometric sequence is 32805, and the 12th term is 885735. Find the first and nth…

A: The 9thterm of the geometric sequence is 32805 and the 12th term is 885735.

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

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

Q: The sum of first six terms of an arithmetic progression is 42.The ratio of its 10th term to its 30th…

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Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio…

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

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Q: The first three terms of a geometric sequence are as follows. 81. 27,9 Find the next two terms of…

A: Our objective is to find the next to turn of the geometric sequence.

Q: a) The third term of a geometric progression is -108 and sixth term is 32. Find: i) ii) The common…

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Q: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 What is the sum of the first…

A: In an Arithmetic Progression the 9th term is 73 and the 4th term is 43 General formula for nth term…

Q: The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

Q: 1. Find the 30th term of the 1 1 harmonic sequence ;, ,0, –? - 4'2'

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Q: The 3rd term of an arithmetic progression is 4 and the 9th term is -14. Find the sum of the first…

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Q: The first term of an infinite geometric progression is 5 and the sum of its terms is 20. What is the…

A: Given that  First term of G.P is  a=5 The sum of infinite terms is  S=20 We have to find common…

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given:                  ...(1) To find the terms of the sequence, Plug n=0 in the equation (1) we…

Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

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

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Q: Find the geometric progression if the 5th term is 12 and the 8th term is 324.what is the sum to…

A: Let the geometric progression is a, ar, ar2, ar3, ar4, ar5, .... Given the 5th term is 12 That is…

Q: Find the indicated term of the geometric sequence. 6th term of 3, 3/4, 3/16…

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Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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Q: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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Q: Find the 9th and 10th terms of the sequence an = 5n+ 1. The 9th term is The 10th term is

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Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is

A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an

Q: The 4th term of a geometric progression is 2/3 and the seventh term is 16/81 find the geometric…

A: If the first term of Geometric progression (GP) is a and common ratio is r than nth term of…

Q: The first term of a geometric progression is 12 and the fifth term is 55. Determine the 8th and the…

A: Given information: The first term of a geometric progression is 12 and the fifth term is 55. Concept…

Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

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Q: Find the sum of the first 20th terms of the given arithmetic progression if the first term is 5 and…

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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.