2. The sequence given by a, = ar" is a geometric sequence in which a is the first term and r is the So for the geometric sequence a, = 2(5)"- the first term is %3D „and the common ratio is

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

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Q: What value, to 2 decimal places, is the 7a term of the geometric sequence that has '2 =15 and 10 =…

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

Q: As n increases, the terms of the sequence: an = (1 + 1/n)n get closer and closer to the number e…

A: an=1+1nn We need to find a10,a100,a1,000,a10,000,a1,00,000  and compare these terms for the decimal…

Q: Match the geometric sequence at the left with its explicit and re formulas at the right. 5, 20, 80,…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you.If there…

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = - 5, r = |

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 9 and common ratio is 4. An…

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Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

Q: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…

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Q: is The common ratio for the geometric sequence %.4. 2. 1. O A) -2 O B) O C) 2 O D) -

A: The given geometric sequence is                                                     8 , 4 , 2 , 1 ,…

Q: Find the first term of the geometric sequence from the given information. Express the term as an…

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Q: As n increases, the terms of the sequence:get closer and closer to the number e (where e ≈…

A: Substitute 10 for n in the expression to calculate the value of a10.

Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Solve the following 1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose…

A: (1) We know that, nth term of an Arithmetic sequence is given by an=a+n-1d Where a and d are first…

Q: I need to determine whether the given sequence is increasing or decreasing using ratios and…

A: Given Sequence 2nn! an=2nn! Substitute n=1,2,3,.. an=2,2,1.33,0.66,0.266,....

Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…

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Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.

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Q: If the second term of a geometric sequence is 250 and the fifth term is 16, what is the common…

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Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

A:

Q: 15. Find the 5th term of the geometric sequence whose common ration is and whose first term is 7.

A: Given first term is 7 and common ration is 1/2 Here a=7,r=1/2

Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: 5. a; = 9 and an= 3an-1-1, for n> 1

A: Topic :- Sequence and series  First three terms 26,77,230,.......

Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

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Q: th Find the 10" term of the following geometric sequence. 4, 20, 100, 500, ...

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

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Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 4.5 and common ratio is 6. an…

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Q: The general term for the sequence , . is: 3n n+1 3n 3+2 n+3 n+1

A: Given:     To determine: The general term of the given sequence.

Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

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

Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: The repeating decimal 0.555 can be represented as the sum of a geometric sequence where a is the…

A:

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

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Q: Find the 10 term of the geometric sequence whose common ratio is and whose first term is 6. 1/2

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Q: What is the fourth partial sun for the geometric sequence a1=18 and r=2

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Q: 2. Find the 11th term of the following geometric sequence. 4, 12, 36, 108, ...

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Q: State the first four terms of the geometric sequence with a =5 and r = 0.6 and give the limiting sum…

A: For the given geometric sequence, a = 5 and r = 0.6 We have to find the first four terms of this…

Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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