1. Suppose that the fourth term of a geometric sequence is 2/9 and the sixth term is 8/81. Find the first term and the common ratio. 2. The 8th term in a geometric sequence is 384, and the 3rd term is 12. What is the total of the first ten terms? 3. The geometric sequence's first and last terms are 2 and 2048, respectively. The sum of the terms is 2730. What is the common ratio?

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 first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: What value, to 2 decimal places, is the 7a term of the geometric sequence that has '2 =15 and 10 =…

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

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: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

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Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

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Q: The first term of a geometric sequence is 4, and the second term is 1. Find the 5th term. I…

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Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: is The common ratio for the geometric sequence %.4. 2. 1. O A) -2 O B) O C) 2 O D) -

A: The given geometric sequence is                                                     8 , 4 , 2 , 1 ,…

Q: 1. The first term of an arithmetic sequence is 9689 and the 100th term is 8996. a) Find the general…

A: The solution is given below

Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72.  What is…

A: The sum of first  n  terms of a geometric series can be calculated using the formula, Sn=a1-rn1-r.…

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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

A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given, First term = 8 Fourth term = 216

Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72. What is…

A: We have to find the sum of the first 12 terms of the geometric sequence where first term is 8,…

Q: 1.) Find a decimal representation of 1/3. 2.) Find the sum of the first 50 even natural numbers.…

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Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…

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Q: uppose that the fourth term of a geometric sequence is 2/9 and the sixth term is 8/81. Find the…

A: Given 4th term of geometric sequence=298th term of geometric sequence=881

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: For a given geometric sequence, the  11th  term,  a11 , is equal to  4325 , and the  14th  term,…

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Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

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 sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

Q: Given that the first term of an geometric sequence is 2 and the common ratio is 3 what is the…

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Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

Q: 1) If a1=0.00625 and r=4, find the fifth term of the geometric sequence.

A: According to our guidelines, we can answer only the first problem or three subparts of a problem,…

Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

A:

Q: The 12th term of an arithmetic sequence is 34 and the fifth term is 20. Find the 20th term.

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Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: How would you determine whether a sequence is Arithmetic? How would you determine whether a…

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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: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

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Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

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

A: Given,

Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

A:

Q: a) Suppose the fifth term of an arithmetic sequence is 18 and the sum of the first eleven terms is…

A: We need to solve these questions using the equations related to arithmetic and geometric sequence.

Q: (a) If all your ancestors were distinct, what would be the total number of your ancestors for the…

A: Given that, you have two parents, four grand parents and eight great grand parents. (a) In the first…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…

A: Let a be first term of A.P.  And, d be the common difference, then