Deduce the sum of the series 12 +무+푸 +

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 series if possible, if not possible explain why: 1 ' + 2 + (금) + (금)'+(글) .

A: The given series is: 1+-25+-252+-253+......

Q: Find the sum of the series if possible, if not possible explain why: 3 (금)' + (금) -2 1+ 5 +...

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Q: Find the first 6 terms of the sequence with first term8 and nth term an = an-1 + 3.

A: Arithmetic Sequence :                                          An arithmetic sequence is a…

Q: Find the sum of the first 10 terms of the geometricsequence 5, 10, 20, ....

A: The given geometric sequence is, 5,10,20…… The first term of the geometric sequence is 5, The common…

Q: Find the first 4 terms of the sequence with first term5 and nth term an = an-1 - 2.

A: Given: The first term of the sequence, a1 =5 And the nth term,…

Q: Make up an infinite series of nonzero terms whose sum is 0

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Q: Clarify the differences between a sequence and a series?

A: Sequence is an array of numbers arranged according to a certain rule. For example,

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 the first 10 terms of an arithmetic series defined by: 3, -1, -5... O -150 -205 O -6…

A: We can find the answer as below

Q: The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms.…

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Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: The first term of an arithmetic series is -13 and the last term is 99. The sum of the series is…

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

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Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: Express as the sum of a power series: (5z + 6)(6z + 6) (3)"] 1/7 17

A: Using partial fractions:  x5x+66x+6=15x+6-16x+6                            =1/61--56x-1/61--x…

Q: Find the 38th term of a sequence where the first term is −11 and the common difference is 2.

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Q: The first five terms of the sequence tn = 1(1/3)n-1 are: If necessary, express terms as improper…

A: We can find the required terms as below.

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

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Q: Find the sum of the first 15 terms of the geometricsequence 100, 50, 25, .....

A: The geometric sequence is given by a,ar,ar2,...,arn, here a is the first term of sequence and r is…

Q: Write the series using summation notation. -3+4-5+6- 7

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Q: Find the sum of the series S. 3- 3 In(8) 3 (In(8))? - 3 (In(8))³ _ ... 2! 3!

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Q: Find the sum of the first 15 terms for the sequence: 7,10, 13, 16, 19,

A: We have 7,10,13,16,19,.........15th termFirst term a=7common Difference d=10-7=3

Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

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Q: Consider the sequence {5,7.5,11.25,...}. What is the sum of the first 10 terms of the series? Round…

A: Sum of Geometric sequence The formula of the first n terms of a geometric sequence is Sn=a1(1-rn)1-r…

Q: Find for the sum of the first 70 multiples of 3.

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

A: Given,          The sum of the series 5+10+20+40+.....We know that,          The sum of the series…

Q: Find the sum of the infinite geometric series when 2 27

A: Given is the series  2-23+29-227⋯    Sum of infinite geometric Suries s∞=a1-r  if r<|1|.

Q: Find the Sum of the Series S구)는 -, (주)를 -오루 2주 - 주

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Q: Find the sum of the infinite series, if it exists 1, 2, 4, 8,.. 16

A: The sum of an infinite geometric series (GP) is given by , where a is the first term of the series…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…

A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…

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 whose terms are 1, 2, 3, ..., 99.

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Q: The SECOND and THIRD term in a geometric sequence is 16 and 5th term is 54. Find the sum of the…

A: Topic:- sequence and series

Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: Find the sum of the first 10 terms of the geometricsequence with first term 5 and common ratio -2.

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Q: Find the sum of the first 10 terms. 0.5,0.9,1.3,1.7,.

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Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

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Q: Simplify the series of additions and subtractions

A: To simplify: the below series of additions and subtractions.

Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms of…

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Q: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…

A: Given a geometric series with first term 11 and common ratio 5.

Q: A witness in a hit and run accident is interviewed for the plate number of the car.  The witness is…

A: Given: Number of letters in the number plate the witness can remember is, n(l)=2. Number of numbers…

Q: Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26, …}

A: Given sequence is 2, 10, 18, 26.........

Q: The sum of the first 4 terms of a geometric series is 15 and the sum of the next 4 terms is 240.…

A: Here we will find the positive constant ratio,

Q: Assess the numbers (5,7.5,11.25,...). What then is the sum of the series' first ten terms? Round the…

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Q: Find the sum of the first 8 terms of the sequence. Show all work for full credit. 1, -3, -7, -11,…

A: It is ap.  Use formula of sum of n term of ap.