Instruction: 1. Carefully read the question then answer. 2. Answer must be handwritten and step by step clear explanations. 9. Determine the infinite sum for the following geometric series. (a) an = = (-²)” (b) an = 2(-3)"

Q: Exercise 6. Find the sum of the first eight terms in the geometric sequence: 100, 100(1.08),…

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Q: 4- 120..} .... Determine the next term of the sequence { - 24

A: The sequence is  {12,-16,124,-1120}  +2 = (-1)2 ÷ 2! -6  =  (-1)3 ÷ 3!  24 =  (-1)4 ÷ 4!  -120 =…

Q: Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and…

A: Given: An arithmetic sequence where:a=initial term=-5d=common difference=8 We are required to find:…

Q: Instruction: 1. Carefully read the question then answer. 2. Answer must be handwritten and step by…

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Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: 1. Explain the difference between each of the following pairs of terms, be sure to use an example to…

A: "Common difference" and "common ratio" are terms commonly used in arithmetic and geometric…

Q: I am needing help writing an expression for the nth term in the attached image.

A: Given:

Q: (() 6. Given Cn 12 write the first four terms of the sequence. %3D

A: We have to solve the problem

Q: Find the sum of the sequence: {1 - 0.09 + 0.092 – 0.093 + . + 0.0924). Remember to use the 25th term…

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Q: Question Determine the ratio in the geometric series below. 27 + 4 243 +... 16 9 81 3+ 8 Sorry,…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: A. Directions: Rewrite each series as a sum. 1. ΣΧ-1(20-n) 2. E=1(n + 600) 3. Em-1 3m

A: Ans-1) ∑n=14 (20-n2) = (20-12)+(20-22)+(20-32)+(20-42)  = (20-1)+(20-4)+(20-9)+(20-16)  =…

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: Write arule for the nth term of the anthmetic sequence for which ar=-10 and dis=-20

A: nth term for an arithmetic sequence is given by: an=a+(n-1)d where a is the first term of the…

Q: Find an and a- for the following geometric sequence. a, = - 4, r=2 -1 an a7 =

A: Given:          a2=-4           r=2 The nth of geometric sequence is calculated as…

Q: Find the sum of the infinite geometric series. 1 1 1+=+=+=+... 2 4 8 1 1 1 1 1+-+-+ 2 4 8 + ... =…

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Q: Find the 7th term of the arithmetic sequence with a 10 50 and a 19 = 104. 6. b. 38 с. -4 а. 32 d.

A: Arithmatic sequence is given byan=a+(n-1)×dwhere, a is the first term and d is the common difference…

Q: Write the first five terms of | 1 2 3 4 5 each geometric sequence 1).a, = 3, r = 5 2)a, = 10, r = -4…

A: Given that we have to find the first fiver term of each geometric sequence