Please answer the 3 questions with solution 6. If 5x + 2, 2x^2 +8, 24x - x^2,...form an arithmetic sequence, find x and the 12th term. 7. If 3x + y, 5x - 2y, and 7x - 5y form an arithmetic sequence and an = 21x - 35y, find n. 8. Find the sum of all integers that are multiples of 4 from 1 to 150.

Q: Find the sum of the first n terms of:

A: Sum of n terms of geometric seriesSn=a(rn-1)r-1where a= first termr=common ration= number of term

Q: Find the next three terms in the sequence {100,80,64,51.2,dots, dots, dots, dots } no hand written…

A: Here we have 80 = 100 - 100/5 64 = 64 - 64/5 51.2 = 64 - 64/5

Q: What are the next two terms in the sequence 512, 256, 128, 64, ?

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Q: Find the sum 6 ∑ k=1 4(5)^k-1 A. 4096 B. 12,500 C. 15,624 D. 3124

A: To find Find the sum 6 ∑ k=1 4(5)^k-1

Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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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: 5 2² Find the sum of the first 8 terms in the sequence 5, 10, 20,....

A: I am attaching image so that you understand each and every step.

Q: The sum of the first 30 terms of the sequence -11, -5, 1, 7, … is 2280. True or False?

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Q: Find the 6th term of the geometric sequence when a1=10,an=10(-2) ^n-1

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Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: Use a₁12 and d = 3 to find the term a5 in the arithmetic sequence starting at a₁ n common difference…

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: Write the indicated term of the given sequence. a=12,24,36,48;a^(2) No hand written solution and no…

A: To find a2 ?

Q: What is the formula of the sequence -6,-3,-2,-3/2,-6/5...

A: The sequence is -6,-3,-2,-3/2,-6/5...

Q: Write the first n terms of the geometric sequence A1=-3x^2, r=-1/x, n=5

A: soln:since, the given first term of geometric sequenceGn=-3x2Common ratio=-1x, n=5number of termswe…

Q: Find the a, of the geometric sequence 5 O x^7/y^20 O x^6/y^10 O Option 1 O x^5/y^8 O x^12/y^15

A: Here we have to find term of geometric sequence.

Q: 3 5 7 12'34'56'78

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Q: 1 1 1 1 1 8. 1, 2 3'4 5'6

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the sum 3 + 6 + 12 + 24 + ... + 3(2)^10

A: The given series is 3+6+12+24+...+3(2)10.

Q: The first three terms in an arithmetic sequence are -8,k^(2),17k Find two possible values of k.

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three…

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