What is the 50th term of the sequence 3, 7, 1, . . . ?   A. -294                    B. -281                    C. -275                    D. -213   Evaluate the geometric series below for the specified number of terms:  4 + 20 + 100 + 500 ...; n = 7   A. 78 124                 B. 88 419                 C. 91 846                 D. 92 234

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: Write the general formula for the alternating series in the form "The sum from n=1 to infinity a(n):…

A:

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: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

Q: find the sum of the infinite geometric series if possible a) 1 - 1 = ²2 + 14 - 1²/2² +.... b) ²/5 +…

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Q: (a) The nth term of a sequence is Un. The sequen

A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…

Q: 2. (a) Write the repeated decimal as a geometric series in summation notation and then use your…

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Q: Find the sum of the infinite geometric series, if it exists. 7 a1 = -3, r = 10 S =

A: Explanation of the answer is as follows

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

A:

Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

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

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Q: Find the sum of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (−27) + (−32)+...,…

A: We have to find sum of first 7 terms of given arithmetic series.

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…

A:

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

A:

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

A: We need to find nth term for given series.  First we will find a general pattern.

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

A: given series :

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: fourth

A: We will solve the problem.

Q: Find the sum of this infinite geometric series, if it exists. 7 21 63 189 8 16 32 64 -1.75 7.1 7.2

A: Solution : Consider the given infinite geometric series is 78+2116+6332+18964+... The first term of…

Q: The nth term of a sequence, represented by an, is called the______ term.

A: Given, The nth term of a sequence, represented by an

Q: Determine the sum of this infinite geometric series So, = 5 – 2.5 + 1.25 – 0.625 + ... 10.

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Q: Find the sum of the following infinite geometric series, or state that it is not possible. 31 k 8

A: Given series is- ∑k=1∞8-34k To find the sum of the given infinite geometric series and to state if…

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 an is calculated directly from n. 5 8 11 14 17…

A:

Q: 9. If the following sum represents a geometric series, then which of the following is its value? (1)…

A: Solve for the sum of series

Q: Find the arithmetic series of the arithmetic sequence (1, 2, 3, ., 250}. a 31,375 b 31,250 31,125 d.…

A: Given arithmetic sequence is  ={1,2,3,....,250} Formula of sum of arithmetic series is  =(n/2)(a+l),…

Q: B- Given 0.8+0.08+0.008+.., express it as a geometric series. Find the sum?

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Q: Which of the following is the correct formula to find the sum of the finite geometric series below?…

A: The geometric series is given by 2+23+29+·····+236 To evaluate : The formula of the sum of the…

Q: find the sum if it exists of the infinite geometric series S=1+3/4+9/16+27/64+.....

A:

Q: Find the sum of the arithmetic series with 14+23+32+41..., n=7 1168 582 287 584

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Q: Which of the following is an infinite geometric series? Choose an answer 10 + 20 + 40 + 80 +... 100…

A: Yes, it is infinite geometric series Since every two consecutive terms are multiplied by 2. Answer…

Q: c) Write the explicit formula for the nth term of the sequence below. d) Prove that mathematical…

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Q: Find a formula for the nth term of the sequence  3/6, 4/7, 5/8, ...   Assume the series begins at…

A: Given: The sequence is 3/6, 4/7, 5/8, ...

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

A: The nth term of the infinite geometric series is given as: an=120.2n-1 Then we get,…

Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: Find the sum of the infinite geometric series -8, 2, -1/2, . . . O 16/3 O (-32)/5 O (-16)/3 O 32/5

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Q: n an arithmetic series, the 4th term is 62, and the 14th term is 122. Determine the sum of the first…

A: Topic = series

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

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Q: How many terms are there in a geometric series if the first term is 7, the common ratio is 2, and…

A: a= first term=7 r= common ratio=2 S= sum=105

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 8 12 16 20…

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Q: Use the sum and sequence features of a graphing calculator to evaluate the sum of the first ten…

A: use sum formula for arithmetic sequence.

Q: {1· 2·3 ... n} а. 143 O b. 135 с. 153 d. 134

A:

Q: Which of the following is the correct formula for the sum of the finite geometric series below? 3 3…

A: The given series is 3+34+316+...+3417

Q: What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324? Hint:  r ≠ 1, where…

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Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 33 34 4' 6' 8' 10' 12 an = |…

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Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: Find the sum of each infinite geometric series, if it exists. 9 27 +.. 8 16 32 64 3 17. a, =-2, r=-…

A: See the calculation below

Q: ind a formula for the general term an of the sequence, assuming that the patte begins with 1.) {-3,…

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

A: Given sequence is: 5,12,19,26,33,...

Q: Find the sum of the first 10 terms of the geometric series. aд 3 3, r %3D — 2, п %3D 10 n =

A: