Activity no. 4 Sum of Geometric Series: Find the indicated sum of the Indicated geometric series. sum 1) 5, 10, 20, 40, ... find s10 S10 = 2)960, 240, 60, 15, ... find s; S; = 3)3, 30, 300, ... find s, S, = 4)7, -21, 63, -189, ... find s, S, = 5)4, 12, 36, 108, ... find s, S, = Process Questions: 1. How did you solve for the answer ? 2. How can outcomes of a certain real life problems be predicted ? %3D

Q: 2√5+10+10√5....31250 determine the sum of the geometric series

A: SOLUTION-

Q: i. Calculate Sa(5), the sum of the first 5 terms of this part (a) series. ii. Using what your…

A: Note: Hi! Thank you for the question, as per the honor code, we are allowed to answer three…

Q: if (series's shown in image), then what is the interval over which the power series converges…

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Q: (a) For what value(s) of c does the geometric series (1+ c)-" have a sum of 2? ーn n=2 1 (b) For what…

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Q: 2. a. The first term of an arithmetic series is 7 and its nth term is 127. The sum of the first n…

A: To solve the given problems with the given data.

Q: ind the sum of the geometric series 20 40 5 - " + 9. 27

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Q1: what is the difference between sequences and infinite series? Give example for each one. Q2:…

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Q: Determine whether the infinit geometric series has a sum. If so, find the sum 4 12 4 4 3

A: Given:

Q: sum of a geometric series

A: Given geometric series

Q: (1) Suppose a sequence a, converges. Then the series an converges, (H) Suppose that a,, s b, and we…

A: As per the company rule, we are supposed to solve the first three subparts of a problem. Here It is…

Q: What is the sum of the geometric series below? 1 3 + 1+ 3 1 9 27

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Q: 1. Use a geometric series to find the sum of the areas of the infinitely many shaded regions. The…

A: Important points: 1. Radius of the circle= πR2 2. Radius of semi-circle = (πR2)/2 3. Radius =…

Q: Determine whether the finite series is arithmetic, geometric, both or neither.  If the series is…

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Q: 1. What is the sum of a geometric series S, = a + ar + ar? + ar3 + ...+ ar"-2 + ar"-12

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Q: How would you classify the sequence 28,21, 15, 10, 6, ... .? ...... A. Arithmetic Series B.…

A: Difference between terms is equal So this is arithmetic series.  Option A is correct

Q: The third and fourth terms of a geometric series are 6.4 and 5.12, respectively. Find (a) the common…

A: The general term of the geometric series is given by arn-1 where a is the first term and r is the…

Q: An arithmetic series has first term 7 and second term 11. (a) Find the 17th term. (b) Show that the…

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Q: Learning Task 4: Determine the first five terms of each defined sequence, anil give their associated…

A: Given, The sequence  4. 1+2+3+.....+n 5. 2-3n-1 We have to find the first five terms of the sequence…

Q: Determine wheter the infinite geometric series coverges or diverges. If it covereges, find its sum

A: Infinite geometric series: Condition 1: An infinite geometric series converges if and only if ''the…

Q: Evaluate each arithmetic series described. 14 35 21) 2(-Зп - 7) 22) Σ (7-2) 13 1 +-n 24) а, 3 13, а…

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Q: Does the given infinite series have a finite total or not? If yes, find it. If not, explain. Ether…

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Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: Learning Task 4: Determine the first five terms of each defined sequence, and give their associated…

A: The first five terms of the sequence are 1,2,3,4,5

Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

A: We will use sum and condition for sum of infinite GP ( geometric progression ) a+ar…

Q: What is the sum of the first 30 terms of this arithmetic series? - 5, - 2, 1, 4, .... Select one:…

A: We can find the sum of the first 30 terms of this arithmetic series in the following steps.

Q: 9. If the following sum represents a geometric series, then which of the following is its value? (1)…

A: Solve for the sum of series

Q: D. Determine each geometric series. Use the graphing calculator to verify your results. 10. The sum…

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Q: Learning Task 4: Determine the first five terms of each defined sequence, and give their associated…

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Q: Evaluate the geometric series or state that it diverges. 1 25 125 +... 36 216 1296 Select the…

A: Geometric series test.....

Q: Find the sum, if it existsof the Infinite geometric series S=21+9+3.86+

A: solution:- its geometric series because the common ration is same between the digits

Q: 4 1 + 3 16 64 + + 9 27 81

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Q: Problem : Using Ratio test, determine the nature of the series: n! 6Th

A: We have to check weather the given series is convergent or divergent in nature.

Q: ind the sum of the infinite geometric series or show that the sum does not exist: 9 + 3+1++....

A: We know that sum of infinite geometric series with 1st term 'a' and common ratio 'r' is given by…

Q: Determine whether the series is arithmetic or geometric, then find s; (6 + 1 + (-4) + (-9) + . .. }…

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Q: For which numbers ?does the geometric series converge? b. To what does the above series converge,…

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Q: Complete the function that calculates the sum of the first  n+1 terms of the geometric series…

A: This is to derive the formula of GP series, which is a problem of series and sequence, counting and…

Q: )3-홍+-+ 27 9 State the given series as sumlsigma notation.

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: Which statement about divergent infinite geometric series is true? A) The graph of a divergent…

A: To Determine :-  The options of divergent infinite geometric series is true.

Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp

Q: Evaluate each infinite geometric series described. 3 10 3 20 40

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Q: For the infinite geometric series below, does the series converge or diverge? 100, - 150, 225, -…

A: Given :infinite geometric series100, - 150, 225, - 337.5, ...

Q: Nth term formula of sequence 1,5,11,19,29

A: Given sequence is,1   5   11   19   29.   4   6     8     10.     2    2     2 Since, the 2nd order…

Q: n which cases and how to use the CARTRIDGE, DECIL AND CENTIL CALCULATIONS USED IN STATISTICS.…

A: Quartiles :  Quartiles divides the data into 4 equal parts (groups). Formula : Qi=i×(N+1)4th value…

Q: QUESTION5 Find the Generating function for the sequence 1,5,25,125,625,... Also find for which value…

A: Generating Function

Q: Find the sum of the following arithmetic series and write in summation notation.

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Q: 2. a) Find the sum the series n=1

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Q: A geometric series has first term 4 and second term 7. Giving your answer to three significant…

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Q: Find the sum of each geometric series described. 14. S,; a, = 12, r = 3 15. S16; a, = 625, r = 16.…

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Q: 5) The infinite geometric series given the first term is 49 and the common ratio is 9x, then s. .…

A: given that  first term of an infinite geometric series is a =49 common ratio is r =9x, then…

Q: 2) We would like to compare geometric series and p-series because they have very similar form. For 1…

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