Find a, and d for the arithmetic series. = - 108, a12 S12 = -15 a, = (Type an integer or a simplified fraction.)

Q: d. Find the first three terms of an arithmetic series if a = 3, an = 24, and S, = 108.

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

Q: 0.63

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Q: For Exercise, find the sum of the geometric series, if possible. 4 J=1

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Q: Find the Sn for the arithmetic series where a1=-5, n=8, and d=6.

A: solution

Q: Identify whether the series is an arithmetic series (AS), geometric series (GS) or not one of the…

A: Given series is 1+32+94+…+8116 Here, we have a1=1, a2=32, a3=94 a2a1=321=32 a3a2=9432=32

Q: Write > 1 as a telescoping series and find its sum. n(n- 1) n=3

A: Given :  A series an= 1/(n(n-1)) Aim : To write it as Telescoping series and to find its sum…

Q: What is the value of c in the geometric series 24 + b +c +d+ e +f+. .. if the sum of the series is…

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Q: Find the sum of the arithmetic series in w 3, and n = 20.

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Q: Use the formula for an arthmetic series to find the sum: ai=19,d=5,an=144

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Q: If the third term in the geometric series 2 ar" is 4, then the product of the first five terms…

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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 Sn for the arithmetic series in which a1=4, d=3, and an=61.

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Q: 3" 14" n=3 S

A: Given data is: ∑n=3∞3n14n

Q: If the 8th term in an arithmetic series is 39 and the 20th term – 33. - What is the common…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For Exercise, find the sum of the geometric series, if possible. 243 3 + 2 + - 3 2 512

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Q: Write the first three terms of the infinite geometric series that satisfy the condition: r = -1/2, S…

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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: 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: If the third term in the geometric series E ar" is 4 , then the product of the first five terms…

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Q: Find the sum of An of the arithmetic series that satisfy the given condition n= 7, a1 = 2, d = 7.…

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Q: Find S, for the arithmetic series 24+16+8+.. 20

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Q: Evaluate each geometric series described. 1) a, = 3, r=-2, n= 10 %3D 2) -2 – 4 – 8 – 16..., n = 6 A)…

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Q: Find the sum of the arithmetic series. n=10,a n =41S n =230

A: Topic: arithmetic progression

Q: Find the sum of the geometric series, if possible. 4 8 16 + 3 9 64 27 243

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Q: Given the formula, S n =a 1-r^ n 1-r what is the sum of the first nine terms of the geometric series…

A: Note: The geometric series has to be 324, -108, 36, -12,....., Otherwise there will be no common…

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: 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 of the first 7 terms of the arithmetic series shown. (-17) + (-22) + (-27) + (–32) +...…

A: For a arithmatic sequence with first term =a, common difference=dthen sum of  first n terms of the…

Q: +00 2 22. n n=1

A: Solution is given below:

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

A: Soln :-  a) -4+2-22+24-28+216+---- Therefore, geometric series is given by a+ar+ar2+ar3+---=a1-r…

Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: Find the sum of the series, S. n! S =

A: We need to evaluate the sum of the following series : ∑n=0∞x8nn!

Q: Find the sum of the given arithmetic series if a1 = 16, d = –9, n = 18

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Q: evaluate each geometric series described  -4+8-16+32..., n=8

A: Given that we need to evaluate each term of geometric series  -4 + 8 - 16 + 32 ..... for n = 8  Now,…

Q: For Exercise, find the sum of the geometric series, if possible. k-1 Σ6( k= 1

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Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an…

A: Topic = Geometric progression sum of finite GPSn=a1-rn1-ra=first termr= common ratiosum of infinite…

Q: Evaluate the arithmetic series when a = 12, an = 144, and n = 45.

A: Given that for an arithmetic series a1=12, an=144 and n=45. Evaluate the arithmetic series. Evaluate…

Q: Evaluate the geometric series or state that it diverges.

A: ∑k=0∞43-k=∑k=0∞34k On expanding, we get ∑k=0∞34k=1+34+342+343+.......

Q: What is the sum of the series below if c = 7.8, d = 12.8, and x = 0.01. | 002.png

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Q: Evaluate the geometric series or state that it diverges. 6 Σ 7m m=2

A: Series is convergent and its value is 17

Q: Which of the following are geometric series? E(47)" n=0 00 4" 29" n=0 Σ n5 Σ 3" n=0

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Q: Evaluate the geometric series or state that it diverges. 7 Σ 4m m=2

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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: 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: 4K-1 K=4

A: To find the sum of the series.

Q: d. Find the first three terms of a geometric series if S, = 30, r = -2, n= 4.

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Q: Evaluate the geometric series or state that it diverges.

A: Given  Here, the infinite power series is: ∑k=4∞ 15k=154+155+156+157+....15∞ Here, the first term…

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

Q: If the third term in the geometric series E ar" is 4 , then the product of the first five terms…

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