Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,... 3. 18, 6, 2, ... 4. aj= 32, r=-;

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

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Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

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Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: Find the first term and the common ratio for the geometric sequence. Round approximations to the…

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Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …

A: A detailed solution is given below.

Q: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…

A: Given sequence is  4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…

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

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given : -1,-5,-9,-13,-17

Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

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

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Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: Find the 2nd, 3rd, and 4th terms of the geometric sequence whose first term is 6 and common ratio is…

A: The nth term of a sequence can be obtained by the formula an=arn-1,where r is the common ratio and…

Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

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

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Q: True or False For a geometric sequence with first term aj and common ratio r, where r + 0, r + 1,…

A: Let geometric sequence is a1,a1r,a1r2,a1r3...........a1rn-1 where a1 is the common difference and r=…

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

Q: Find the 5th term of the geometric sequence: – 5, – 30, – 180, ... - - Round to 1 decimal place if…

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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: 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: Write the first five terms of the geometric sequence whose first term is 6, and whose common ratio…

A: The answer is found in step-2

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. a = 5, r = 2,…

A: Given values are a=5, r=2 and n=5. The sum formula of geometric series is Sn=arn-1r-1.

Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: The following sequence is geometric: -1, 1, -, . O True O False

A: Given the geometric sequence−1,12,14,−18

Q: Find a formula for the nth term of the sequence in terms of n. 2 22 23 24 15 20' 25 30' 35 1 an for…

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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…

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Q: Find the sum of the first 12 terms of the geometric sequence shown below. 3 2 . 3,-6, 12, The sum of…

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Q: Find the explicit formula for each of following sequence: а) -31, -14, 3, 20, 37, 54, b) 1/5, 1/25,…

A: Given: a)-31,-14,3,20,37,... b)1/5,1/25,1/125,1/625,... c)17,10,3,-4,-11,-18,.... As per our…

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: Calculate the average rate of change for the graphed sequence fromn = 1 to n = 3. {(1, 2) , (2, 4) .…

A: Here we have to find the average rate of change.

Q: th Find the 10 term of the following geometric sequence. 2, 10, 50, 250, ...

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

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Q: For Exercise, find the indicated term of a geometric sequence from the given information. 16 and r =…

A: We will use the term formula of geometric series And use n=5 in it

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: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…

A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.

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

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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: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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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 partial sum S, of the arithmetic sequence that satisfies the given conditions. a2 = 9, a5 =…

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Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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Q: 1. 3,6, 12,... n = 12 27 2. 12, 9, 4 n = 5 ....

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Q: Write the first four terms of the geometric sequence satisfying the following conditions: a, = 2,…

A: In general, The geometric sequence is, a, ar, ar2, ar3,.....    where, a= first term, r=common ratio…

Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

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