What is the sum of the k terms of the series 5+ 10 +20+40+ ?

Q: Find the 1st three terms of the arithmetic series where a1=2, an=-25, Sn=-115.

A: Recall: Sn=na1+an2 an=a1+(n-1)d

Q: Find the sum of the series. n=1

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Q: Evaluate the sum of the infinite series 2 S = 2 – + 3 9 2 + 27

A: Given sequence  Take 2 common  Then the sequence becomes GP with  a = 1 and r = -1/3 Sum of infinite…

Q: The sum of an infinite geometric series is 108, while the sum of the first 3 terms is 112. Determine…

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

A: Given: 1+32+94+278+··· To find the sum of infinite geometric series,

Q: Find the sum of the series: n=0 (-1)"64"-2 n!

A: The given series is                                     ∑n=0∞-1n64n-2n! We know that    ex=∑n=0∞xnn!

Q: 10 n(n +2) n=1

A: We have to find the sum

Q: 9. find the of the geometric series. sum if possible. 3(2)"-! nil

A: We have to find sum

Q: The sum of the series 3 (-k+1) is -k k-3

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Q: Find the sum of 150 terms if the series is 6,(9/2), 3,....

A: Determine the common difference of the series. d=92-6=-1.5 Determine the sum of the series using the…

Q: Find the sum of 10th term of the series (1) + (5+5) + (5 +5 +5°) + (5 + 5° + 5 + 5° +5°) +..

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Q: Find the sum of the series: n=0 (-1) 16-2 (2n)!

A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: What is the sum of the first 53 terms of the series 16 + 23 + 30 + --

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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: 2 Find the sum of the first 20 terms of the arithmetic series 6 + 3 +0 – 3 – 6 – ..

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Q: Find the sum of n terms of the series 1.24 +2.3 +3.4 +..

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Q: What is the sum of the finite series 19 Ë n=1 10n²+ 3n²2² 3 Give your answer exactly as an integer…

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Q: Calculate the sum of the infinite series S••=5-3+9/5-… •• means infinity symbol

A: Sum of infinite geometrical series with first term a and common ratio r is given as S = a/(1-r)

Q: Determine the sum of the series 9. п(п + 2) n=1 8

A: First step is to break down the denominator in multiplication form to addition or subtraction form…

Q: Find the 30th term of the series 4,5,9,14, ...

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Q: Find the sum of the first 100 terms of the series given. 3+8+13+ 18 +....

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: Find the sum of the first 100 terms of the series given. 3+8+13 + 18+..

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: Find the sum of the series.

A: The series starts from the term n = 4 , since all the terms of the series are positive.

Q: Find the 12th term in the series 6,3,2

A: Given series 6,3,2,... The main objective is to find the 12th term in the series.

Q: Find the sum of 100 terms of the given series 0.6,1.7,2.8...... to 100 terms

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Q: Find the sum of the first 20 terms of the series 3+13+23

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Q: What is the sum of the series 00 10 21 21 11 -7)

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Q: What is the sum of the infinite series defined by 2 + 2 2. + .. 27 9. 122 27 80 27 O 3 2 O O O O

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Q: How many terms of the series 54 , 51 , 48 ..... be taken so that thier sum is 513 ? Explain the…

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Q: 3-3(슈) + 3 (솎)2 - 3 (슈):…

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Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a…

Q: What is the sum of the first 80 terms of the series 10 +7+4+...

A: Given that: 10+7+4+...

Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

A: The given series is 9+2-5-12-19-... This is arithmetic series, such that First term a=9 Common…

Q: Find the sum of the infinite series. 10

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Q: Find the Sum of the series (눈 k²+3K

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Q: Find the sum of the series: n!

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Q: Write the sum of three terms of the series: 2-n 2"

A: We have to write sum of the three terms of the series ∑n=0∞2n

Q: Find the sum of the first 8 terms of the geometric series 256, 128, 64, 32,...

A: The geometric series is 256, 128, 64, 32,.....

Q: Calculate the sum of the series 7 + ++ +

A: We need to evaluate the following sum 7+52+54+58+516+532+······

Q: What is the value of the series 231-2n4n+1, n=1

A: We solve this in step 2

Q: Find the sum of the geometric series. 9. 8" n = 0

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Q: Find the sum of the initial six terms of (2, 5, ... if... a. It is an arithmetic series

A: Answer (a): The given series is: {2, 5, ....} The first term of this series is a = 2.  If this is…

Q: Evaluate the related series of each sequence  1) 2, 12, 72, 432

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the sum of n terms of the series whose nth term is (i) 2n? - 3n + 5 (ii)n? + 2"

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Q: What is an infinite series?

A: Given: What is an infinite series?

Q: Find the sum of the infinite series 5 5 5 a, =5++ - +- 4 16 64

A: Given: an=5+54+516+564+....

Q: Find the sum of the series: n=0 2-1 (-1)"64"- n!

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Q: What is the sum of the infinite series "n =1 102" ? Show your work

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Q: How many terms are there in a series -64 -32 -16 -....-1÷32

A: Topic:- sequence and series