1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.

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 a geometric series with the given information. a1 = 32 , n = 8 , r = 1/2

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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 n =0…

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Q: The sum of an infinite geometric series is 18. If the first term is 12, what is the value of the…

A: In geometric progression a= first term=12 r= common ratio s= sum of infinite series = 18

Q: The sum of an infinite geometric series is 5. If the first term is 4, what is the value of the…

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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: 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: 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 infinite geometric series. (If an answer is undefined, enter UNDEFINED.) 9(0.4)"…

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Q: Needing help finding the sum of the infinate series in the attached image.

A: To find the sum of the infinite geometric series

Q: D. Solve the following problems. 1. In the arithmetic sequence 1, 5, 9, 13, ..., which term is 209?…

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Q: The sum to infinity of a geometric series is five times the first term. Find the common ratio. r=

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Q: Solve the following 1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose…

A: (1) We know that, nth term of an Arithmetic sequence is given by an=a+n-1d Where a and d are first…

Q: Find the sum of an infinite geometric series in which aj = 34 and r = -0.05. Round to the nearest…

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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: Find the sum of the infinite geometric series if it exists.

A: We have to find the sum of infinite geometric series: 2-2+8-4+.... We know that if we have infinite…

Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…

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Q: The sum to infinity of a geometric series is 60. If its first term is 80, find the common ratio. А.…

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Q: b. Find an expression for the sum of the first n terms of the series 5+8+11+.. Hence, find the value…

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Q: Write the sum of the given geometric series as a rational number. 0.5 +0.05 +0.005+ 0.0005 + ...

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Q: The 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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Q: 4. Find the sum of the geometric series of the first five terms that is defined by 16 ()". an =

A: Substitute n from 1 to 5  and add all terms

Q: If the third term in the geometric series Larn is -108 and the sixth term is 32 then the ratio of n…

A: We have to find the ratio of given geometric series.

Q: find the sum of the first 25 terms of an arithmetic series if t12=-26 and t22=-46

A: We need to find the sum of first 25 terms of an Arithmetic series. We have t12=-26   and   t22=-46

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

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Q: The sum of the first three terms of a geometric series is 52, and the common ratio is r = 3. Find…

A: Given: The sum of the first three terms of a geometric series is 52 S3=52 Common ratio is r = 3…

Q: Find the sum of an infinite geometric series in which a = 34 and r = -0.05. Round to the nearest…

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Q: Find the sum of the geometric series which a1=3125, an=1, and r=1/5.

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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 n = 0…

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Q: Find the sum of the first 26 terms of an arithmetic series if the first term is -7 and d = 3.

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Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED.) E…

A: The formula for the sum of  an infinite geometric series is given below Where a is the first term…

Q: what is the sum of geometric series for which a=2, n=5, and an=35?

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Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: 1. Find the sum of the infinite series. E=16(5)"

A: Solution is given below:

Q: If the arithmetic mean of two items of a series is 12.5.and G.M. is 10, what is the difference of…

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Q: Find the sum of the infinite geometric series if it exists.1.5 + 0.015 + 0.00015 +....

A: G.P SeriesA Series, in which each term is found by multiplying the preivous term by a fixed…

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: 3n п+2 n=5

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

A: Given ∑m=2∞52m. Expanding the series, we get ∑m=2∞52m=522+523+524+⋯⋯ Given series is geometric…

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

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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: Find the sum of the geometric series, if possible. n 6) n=1 :/-

A: Given series can be written as,

Q: What is the sum of the infinite series 1 "n=1 102m ?

A: Sum of the infinite geometric series , S =a1-r ; where , a-first term and r<1 is common ratio .

Q: Solve the following problems. Show all your solutions. 1. If the sum of the first five terms of a…

A: Given :- (1)  If the sum of the first five terms of a geometric series is 1,023 with its first term…

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: Find the sum S6 for the geometric series with a1=2 and r=3

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.