For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

Q: Give the first four numbers of the following sequence. A geometric sequence with first term = 1.2…

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Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…

Q: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…

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Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

A: The first term a1=8 and common ratio r=3.

Q: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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

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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?

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Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

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Q: Find the geometric means in the following sequence. –14, ? , _ ? , ?, ?,-235,298 98, 686, 4,802,…

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Q: Identify the explicit formula for the nth term of the sequence written below.   10, −50, 1000/3,…

A: The explicit formula is the formula that can give any term of the sequence upon inserting the…

Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

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Q: Find the 10th element of the following arithmetic sequence, counting 7 as the first. 7,11,15,19,...

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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: Find the explicit formula for the general nth term of the geometric sequence described below.…

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Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…

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Q: Find a formula for the general term anan of the arithmetic sequence (starting with a1a1):…

A: First find the common difference of the given arithmetic sequence than put in the formula for nth…

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: Find the 10" term of the following geometric sequence. 4, 20, 100, 500,

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

Q: Find the formula for the geometric sequence below with n> 1. 3 9 27 81

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Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…

A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: Determine the formula for the following sequence −15,−12,−9,−6,−3

A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…

Q: The following sequence is geometric: -3, 9, -27, 81, ... O True O False

A: Please refer the attached image for complete solution. THANK YOU.

Q: 3.Find the rule for the Geometric Sequence: 4,12,36,108.......2916

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Q: Determine the first four terms of the arithmetic sequence represented by the explicit formula an =…

A: Given, an=7(n-1)+8Here we consider n>0

Q: Looking for a formula for the sequence below: 1, 0, 3, 2, 5, 4, 7, 6...   Can't seem to come up…

A: Given series 1, 0, 3, 2, 5, 4, 7, 6...

Q: For the geometric sequence 3, 12, 48, 192, ., .... find the indicated term. 14th term:

A: From the given geometric sequence:   3,12,48,192,....   As we know that the expression for nth term…

Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

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Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

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Q: Is the following sequence arithmetic, geometric or neither? 2, 10, 50, 250, 1250, 6250

A: Given,         The sequence is 2 , 10 , 50 , 250 , 1250 , 6250 .

Q: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

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Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

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Q: of an arithmetic sequence with a = 8 and d = 2? options: tn=2 + (n+1)(8) tn=8 + (n−1)(2) tn=8 +…

A: Solution of the problem as follows

Q: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4

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Q: Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ...…

A: The geometric sequence is given by 45, 135, 405, 1215, 3645, ....... To evaluate : The explicit and…

Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given: A sequence is arithmetic sequence in which a1=-2, d=14 and S=21. To find the number of terms…

Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: 回 ☆ Find the sum of the indicated number of terms of the arithmetic sequence. 34, 29, 24, ...; n =…

A: Given arithmetic sequence Find the sum of 21 terms

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

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Q: Is the following sequence arithmetic, geometric or neither? 15, 60, 240, 960, 3840, 15360

A: Given,          The sequence is 15 , 60 , 240 , 960 , 3840 , 15360.

Q: For the geometric sequence (6, 18, 54, 162, , the term a13 : 312 O 3.35 O 6-314 O 3.37 6- 312

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Q: For the geometric sequence (9, 54, 324, 1944, }, the term a17 =. O 6-68 616 6-610 O 9.616 O 9.618

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Q: Find the 52nd term of the following arithmetic sequence. 14, 22, 30, 38…

A: Given arithmetic sequence is 14, 22, 30, 38,... Here common difference between two consecutive terms…

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.