Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6) а, - :-3 · (-2)"-1

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 eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth…

Q: The second and seventh terms of a geometric sequence are 15 and 46875 respectively. Which term of…

A: Topic =Series

Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

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

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Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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

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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 sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: For a given geometric sequence, the 3rd term is equal to 29/81 and the 8th term is equal to -87.…

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Q: 4. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?…

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Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

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Q: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

Q: The 5th term of a geometric sequence is 45 and the 8th term is 360. Determine the 20th term.

A: Let the first term of the sequence is a and the common ratio is r. We know that the formula for the…

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…

A: we put n=10 in given sequence and find 10th term .see 2nd step.

Q: 4 Find the sum of the first 5 terms of a geometric sequence with a = 162 and r = 31 The sum is

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Q: 3) The value of az in a geometric sequence given ba, + a, = 16a, a10 = 62 and all terms are postive,…

A: It's a geometric sequence problem so for better understanding I'm providing hand written solution.

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

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Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: The fourth term of an arithmetic sequence is 10 and the 20Oth term is 58. Determine the first four…

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Q: 1) Find the 8th term of the geometric sequence 100, 20, 4, ...

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: a = 3"- 1

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: 12. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively,…

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Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

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Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

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Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: Please answer the questions with solution. What is the next term in the geometric sequence 3, −9,…

A: we have to find

Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

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Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

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Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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Q: A geometric sequence has a first term of 8/3 and a fourth term of 9. C) the sum of the first k…

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

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.