6. Determine the sum of each geometric series. a) 27+ 9 + 3 + + 1 243 b) 7 + 3.5+ 1.75 + ... + 0.109 375 c) 1200 + 120 + 12 + ··· + 0.0012

Q: 4) -16 – 8 – 4 - 2.. A) -32 B) -33 D) 2 C) No sum

A: Here, we know that the sum of infinite geometric series if the common ratio is less than one , will…

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A: The given sequence is an=n2n+5. We have to find the closed formula for the first difference of the…

Q: Given two terms in an arithmetic sequence find the first five terms. 2) a = 24 and a, = 64 %3D 10 30…

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

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: find the sum of the infinite geometric series if possible a) 1 - 1 = ²2 + 14 - 1²/2² +.... b) ²/5 +…

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Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: a) Let an be an arithmetic sequence. If as 94, a6 = 85, find the common difference d and the formula…

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Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: What is the value of c in the geometric series 24 + b +c +d+ e +f+. .. if the sum of the series is…

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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: 11) Given a₁ = -2 and ak+1= ak +4. a) Write the first 5 terms of the sequence. b) What type of…

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Q: 6) The sum of the first 8 terms in a geometric series is 65,535. If r = 4, then what is the value of…

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Q: # 4 Put each equation in standard from and sketch the graph of the equation marking all x-intercepts…

A: On simplification, we get

Q: Without adding, find the sum of the first 15 terms of the Fibonacci sequence. Explain and show your…

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Q: Write an algebraic expression for the nth term of each sequence. Then use your expression to…

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Q: d) Find the twenty-first term. e) Compute the sum of the first twenty-one terms.

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Q: E converyes 8.) Explain why an= as a Sequence, but 2ñ Series. diverges as a

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Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: 1. Fill in the blanks: a) In the sequence 2, 6, 18, 54, 162, 486.. , the first term "a" is b) In the…

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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: Evaluate each infinite geometric series described. 1 5) a₁ = 16, r == 4

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Q: Find the 12th term of the sequence given: a.) arithmetic, t3 = 5, t6 =-1 %3D b.) geometric, t3 = 12,…

A: In this question we have to find the 12th terms of arithmetic and geometric sequence.

Q: Find the indicated unknown for each sequence or series. a) Given the 1st term and the last term, a1…

A: a. givena1=-11a85=493this is a arithmatic progression where we have to calculate dformula of nth…

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

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Q: grade 7 students (A, B, C, D, E, and F) ran the following distances in kilometers in 2 hours: 4√2,…

A: We will represent this on number line.

Q: (2a) Find a specific geometric series that sums to 20 b) can you find a specific geometric series…

A: (2a) Find a specific geometric series that sums to 20A geometric series is a series of the…

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

A: Explained below

Q: determine the common ratio, the fifth term, and the nth term of the geometric sequence. Thank you…

A: a) Given sequence, 7,143,289,5627