a1=-2,a7=-8192,r=-4

Q: What is the formula for a geometric series?

A: nth teram formula for geometric progressionan=arn-1where a is the first term and r be the common…

Q: Evaluate the (geometric) series as follows, leave your answer in a fraction format

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Q: Find ay and d for the following arithmetic series. S18 324, ag 35 %3D

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Q: Find the sum of the geometric series. 4 n = 1 5/7

A: Consider the given geometric series. Find the first term a, the common ratio r and the number of the…

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: - 12,800, 6,400, - 3,200, 1,600, ..... Select one:

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Q: Evaluate the following series. Your final answer should be a number. 2" + 4(-1)"+1 5n (a) Э

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Q: What is the sum of the first 19 terms of the series 2 - 5 + 12.5 - 31.25 + ..

A: Given series is2-5+12.5-31.25+.... The sum of the first 19 terms of the series is determined as…

Q: 7. In a geometric series, t5 = 23, 17 = 92. Find the sum of the first 10 terms.

A: As we know that nth term of a GP( An ) = arn-1sum of nth terms ( Sn ) = a( rn - 1 )( r - 1 )

Q: For the arithmetic series 35+ 32 +29, determine the value of S5.

A: In this question, we want to find the value of S5 for the given arithmetic series.

Q: 8 13. What is the sum of the series E-0 ((-3)-2"). D.-2/2 A. --- 6 5 B. --- 6 C. 3 E. none of them

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Q: 7. Write the first five terms of the geometric series below. (a) a₁ = 6, r = ²/ (b) a₁ = 5, r = -2

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Q: 3919, find a601• Given an arithmetic series,S243 = 511272 and a243 5.

A: nth turm :an = a + (n-1)dSum :Sn = n2 (a + an)

Q: 1. Find a1 for each arithmetic series. S8 = 440 and d = 6 S30= 240 and d = -2

A: See this solution in below.

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: Evaluate the Geometric Series. -3+15– 75 + 375., n=8

A: We have to find term

Q: Find the first term of the infinite geometric series. S = 54, r = a1 1/2

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Q: Find out the number of terms (n) in the series below

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Q: Determine S10 for the series 200 +100 + 50 +....

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Q: One number in the following series does not fit in with the pattern set by the others. What should…

A: Given that, the sequence is 1/16, 1/6, 1/4, 1/2, 1, 2.We need to find the number in the given series…

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: What is the sum of infinite terms for the series 81,-27,9,-3, - 20.25 -20.25 -60.75 D. 60.75 O A OB…

A: Given that the series81,-27, 9,-3, ...common ratio (r)=-2781=-13here |r|<1

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

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Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: We need to write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the…

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

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Q: Calculate s7 for the series 3,9,27

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Q: A sum of a geometric series is given for n number of terms. Find the value of n: 111 = ( 1 - 10 n )…

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Q: find the sum of 12 terms of the given series -114,-109,-104..... to 12 terms

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Q: Find a, and d for the following arithmetic series. S16- 360, a16 = 45 ay =

A: We will use the arithmetic series formula