Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14 24' 120 an = for n21

Q: Find the sum of a geometric series with the given information an = 192 , n = 7, r = 2

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Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 4 5+2+ 8.…

A: 5 + 2 + 45+825+_____________ = 5 + 5 X 25 + 5 X 25X25+5 X 25X 25X 25+__________ ∑r = 0∞5 (25)r…

Q: As n increases, the terms of the sequence: an = (1 + 1/n)n get closer and closer to the number e…

A: an=1+1nn We need to find a10,a100,a1,000,a10,000,a1,00,000  and compare these terms for the decimal…

Q: Ki K+5K+6 2.

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Q: Find the sum of a geometric series with the given information. a1 = 32 , n = 8 , r = 1/2

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Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

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Q: Use the formula for the sum of the first n terms of an arithmetic series to find the sum. 13 + 8 + 2…

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Q: Find an explicit formula for the following sequence, a, which starts with a 3 5 7 9 2'4'6'8' Select…

A: Given

Q: Find the sum of the infinite geometric series below 2+1+1/2+1/4+1/8+1/16+...

A: We have to find the sum of infinite gp.

Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a1 = 4…

A: Question- Find an explicit formula of  an   for the nth term of the geometric sequence whose first…

Q: Write an equivalent series with the index of summation beginning at n = 1.

A: Concept: Calculus involves the study of rate of change, which is used to calculate the objects which…

Q: S₄= 80/9 r (common ratio): 1/3

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Q: Find the sum of the geometric series below: 5 5 5 + + 5+ + 3 9 2187 49200 A 6561 5465

A: Topic:- sequence and series

Q: For a given series, S1 = 1, S2 = 8, and S3 = 21. What is the 3rd term in the sequence? 15 O 13 9. O…

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Q: Find an explicit formula for the following sequences with the initial given terms a , a , a , . 2 3…

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Q: Find the error for the sum of the following series:

A: Consider the given information: The series is given by, S=∑n=1∞-1nn! To find the error in series.…

Q: Find the sum of each of the following series.

A: Given,

Q: Σ 3n! n = 2

A: The given summation is 3n! Not 3(n!) All we need to do is substitute 2,3,4 and 5 for n in the given…

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

A: Given series:- 2+2/3+2/9...+2/36

Q: 4. Determine S20 for the arithmetic series with properties listed below. A) a = 2x and d = 5x , B)…

A: formula ,  Sum of arithmetic series :  Sn  = ( n / 2 ) [ 2a + ( n - 1 ) d ]    n - th term of…

Q: Which one is correct for the sum of the geometric series O O O 9 10 11 5 17 10 6 5 O Divergent Σ1…

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Q: Suppose that we start with the sequence 1 1 1 1 1 1 '2'4'8'16'32'64' If we denote the above sequence…

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Q: If all the values in the series are the same, then what will be in relations to : A.M?  G.M?  H.M?

A: Arithmetic mean, geometric mean, and harmonic mean are the type of average. These averages are based…

Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

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Q: Find the sum of the following infinite series. If it is divergent, type "Diverges" or "D". 1 Σ 8. n…

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Q: find the sum of each series given the following information: first 15 terms in series created by…

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Q: Find the sum of the arithmetic series where n = 60, a = 9, and t60 = 422

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Q: Find the sum of the following geometric series: 3 Σ an=64n

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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: For Exercise, find the sum of the geometric series, if possible. 5 5 15 + 5 + 5 3 27 81

A: First term= a1=15  Common ratio= r = 5/15= 1/3 There are 6 terms so n=6

Q: FInd the indicated sum for the geometric series.  1. 4+2+1+...;S10 write the first n terms of the…

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Q: Find the sum of the infinite geometric series defined by E 4(0.5)"-1 %3D 4 O 1 O None of the choices

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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 of each of the following series.

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Q: 3. Find the sum of the following geometric series or state that it diverges. 9 10 n=1

A: We have to find sum

Q: What happens if you apply the formula for the sum of a geometric series to the following series? Is…

A: Given, 1 + 3 + 32 + 33 + 34 + · · · Since, 3/1 ≠ 32/3 ≠ 33/32 · · · This implies, the given series…

Q: For each of the finite geometric series given below, indicate the number of terms in the sum and…

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

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Q: The first few terms of a sequence are: 8 8 8 8 8 {an} 3' 9' 27' 81’ 243 8. Assuming this pattern…

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Q: The sum of the geometric series is given by S = lim S. %3D n- 00

A: To find whether the given statement is true or false.

Q: Find a 1 for the geometric series described. S n =4860 , r=3,a n=3280.5

A: this question is based on the gp series .

Q: use thE formula for the sum of a geometric series to find the sum or state that the series diverges

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Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

Q: Find the sum of a geometric series with the given information. a1 = 16 , r = 1/4, an = 1/64

A: We have to find sum of geometric series.

Q: For the following sequence, give an explicit formula for the nth term. aj = 6 %3| An -5a,-1 for n >…

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

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

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Q: Find the sum, if it exists, of the infinite geometric series S=1/81+1/27+1/9+... A) S=1/6…

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Q: 6. (n! + 5) n = 0

A: We will solve the problem

Q: For Exercise, find the sum of the geometric series, if possible. 2 50 + 10 + 2 + 2 5 25 125

A: First term =a1= 50 Common ratio= 10/50=1/5 number of terms = n= 6