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: D. Determine the indicated term in the given geometric sequence, 1. a (1,3, 9, ...) 2. a (2,-4, 8..)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 1.) 1, 8, 2, 9, 2.) 2, 11, 9, 18, 3.) 5, 4, 8, 7, 4.) 8, 14, 9, 15, 5.) 6, 14, 9, 17,

A: To fill the blanks in the given series.

Q: 5. Which geometric sequence has a first term equal to 55 and a common ratio of -5? O {55; 275;…

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Q: 19. Σ3k+5 k=1

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Q: b Dos. either (onverg Series? why? s witing the G for cach of the

A: This is a problem of series.

Q: In the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...}, what is the value of Fg ? D F = 21 OF = 34 D F…

A: Given : Fibonacci Sequence 0,1,1,2,3,5,8,..To find :F8

Q: 2. For each arithmetic series, state the values of a and d. Then, determine the sum of the first 20…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: In the Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, …}, what is the value of F5

A: Given that the Fibanacci sequence 0,1,1,2,3,5,8 we know that The reccurence relation of the…

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

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Q: 2. Determine whether the following sequences or series are arithmetic, geometric, or neither.…

A: We have to find if the given sequence is geometric, arithmetic or neither.

Q: 1. A sequence having a constant ratio is known as d. Fibonacci sequence b. arithmetic sequence c.…

A: A geometric sequence(a, ar, ar^2,.....ar^(n-1)) is a sequence in which the ratio between any…

Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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Q: 1 What is the common ratio of the geometric sequence shown below? -2,4,-8, 16,... 1) 2 2) 2 3) -2 4)…

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Q: Fibonacci sequence. Find the following: 1, 1, 2, 3, 5, 8, 13,..

A: If F is Fibonacci sequence then  Fn = Fn-1 + Fn-2

Q: QI) A: The geometrie series (.... +7.5+3.75+...............) has sum of 240. Write first ten terms…

A: Given : Geometric series with two terms (....... +7.5 + 3.75 +......)  Sum of the series = 240 To…

Q: 5. Which of the following sequence illustrates a Fibonacci sequence? b. 0, 1, 1, 2, 3, 5, 8,... d.…

A: We will find out the required value.

Q: 11) -3 + 15 – 75 + 375..., n= 8 12) 2+8 + 32 + 128..., n= 8 13) a, = 1, r=4, n=7 14) a = 3, r=2, n=7

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Q: 1 and the recursive Which sequence could be described by the first term: aj 2 definition: An+1 =…

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Q: 6. Determine the sum of each geometric series. a) 27+ 9 + 3 + + 1 243 b) 7 + 3.5+ 1.75 + ... + 0.109…

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Q: Question 12 6 pts Write an equation for the nth term of the given geometric sequence. 2, 6, 18, ...…

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Q: 3. A geometric sequence is defined by a, = "n=1, with a, = 9. %3D Part A: Find the first six terms…

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Q: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

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Q: Which sequence below represents an exponential sequence? A) B) {2, 6, 10, 14, 18,...} {3, 5, 9, 16,…

A: Explained below

Q: Evaluate th e relate series of each sequence. 1) -7,-5,-3,-1,1,3

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Q: 1. - Determine whether the sequence is arithmetic, geometric, or neither. 1 1 1 1 2'3'7'5'* 2.…

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Q: 3. -1, 5, – 25, 125, .. r = Next three terms:

A: Here we want to find the common ratio and next three terms of the series given in the question 3…

Q: 3 3 3 3,- 4'16' 64 2. Determines the sum of succession a,

A: