Find the number of terms in the geometric sequence 16, 8, 4, 2, ... , 16

Q: Find the 80th term of the following arithmetic sequence. 6,15,24,33,

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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: Determine the sum of the first 7 terms of the geometric sequence. 3,12, 48, ... S7 =

A: Let, s0,s1 ,s2 ,.... be geometric sequence with common ratio r . Then , the nth term of the sequence…

Q: Find the 76th term of the following arithmetic sequence.  13, 17, 21, 25,

A: I have given an answer in step 2.

Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,…

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Q: Find the 94th term of the arithmetic sequence 25, 31, 37, ...

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .

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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: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: Find the 97th term of the arithmetic sequence 17, 26, 35, ...17,26,35,...

A: The given arithmetic sequence is  17,  26,  35............. The first term a = 17 Difference d =…

Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: Find the 58" term of the following arithmetic sequence. 17, 22, 27, 32, ...

A: Given sequence, 17, 22, 27, 32, ......

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

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

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Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

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

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Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: Determine whether the sequence is arithmetic or geometric.4, 8, 16, 32, 64, . . ._____________

A: Given:           4, 8, 16, 32, 64, . . .

Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

Q: find the sum of the first 16 terms of the geometric sequence 1/9, 1/3/ 1.....

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

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Q: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

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

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Q: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .

A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…

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

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Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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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: 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 sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

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Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

Q: Find the 13th term of the following geometric sequence. 4,8,16,32....

A: Here,

Q: Complete the explicit formula for the arithmetic sequence 5,14,23,32,41,50,.. An

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Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: 9. Find the sum of the first 20 terms of the geometric sequence 2,6,18,.... A. 3,486,784,400 B.…

A: The series a geometric series. We can easily solve using formula for sum of geometric series

Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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Q: What is the common ratio of the geometric sequence 10, 20, 40, 80, 160?

A: Common ratio is the constant factor between consecutive terms of a geometric sequence. To find…

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

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Q: Find the sum of the first 91 terms of the arithmetic sequence: 6,−4,−14,−24,−34,

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Q: Find the 97th term of the arithmetic sequence 17, 26, 35,

A: The given arithmetic sequence is 17,26,35,....... The first term of A.P. is 17. The common…

Q: Find the number of terms in the geometric sequence. 16,8,4,2,..........,1/16

A: The given sequence is 16, 8, 4, 2, …,1/16.Here, the common ratio is 8/16 = 1/2.From the given…

Q: Find the number of terms in the finite arithmetic sequence. -4.4,-3.8, -3.2, ..., 8.2

A: Consider the given series.

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

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Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…

Q: 3. -5, 15, -45,... n = 7

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Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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