In a geometric sequence t, = 625, and the common ratio is r = For what value of 1s t %3D 25

Q: At a construction site, a pile driver drives a 3-meter post into the ground. The first hit drives…

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Q: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Here the given explicit formula for an arthmetic sequence is        an=-3+9nCommon difference for…

Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: In geometric sequence the common ratio is denoted by RO

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: If a2 = 35 and a4 :875, then the common ratio of the geometric sequence is 12 4 O O O

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Q: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…

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Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

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: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

Q: Given two terms of a geometric sequence, find the common ratio. a2 = 10 and as 250 O 12.5 0 5 120 O…

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Q: Solve the questions with solutions. Find the 8?ℎ term of a geometric sequence where the third term…

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

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Q: In a geometric sequence, the second term is 1 and the sixth term is 16, Find the common ratio and…

A: We have 2nd and  6th term are 1 and 16 respectively,  We have to find common ratio (r) and a15…

Q: In a geometric sequence ag =4, r=? Find ag,

A: Given: A geometric sequence with a1 = 4, r = (-3/2) To find: a8 (8th term) Concept Used: The formula…

Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

Q: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: First we need to check series is Geometric or not so we calculate common ratios or consecutive terms

Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

A: By using the general formula of a G.P. we can find the common ratio as well as 11 th term

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: In Physics class, Zoe learned that because of energy losses, when a basketball is dropped to the…

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Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

Q: Given the geometric sequence: 40 320 a1 = 5, a2 , a3 = ... 81 ' find a formula for the nth term: An…

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Q: 40 and a4 1000, then the common ratio of the geometric sequence is If a2 %3D

A: Given that, a2=40 and a4=1000 and we know that an=arn-1

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

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

Q: Given the explict formula for a geometric sequence find the common ratio, the first five terms, and…

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Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

Q: In the geometric sequence, whose first element is 0.0003 and whose common ratio is 10, which element…

A: Nth term of a GP is given by arn-1

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: a = 3"- 1

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Q: Given the first term and the common ratio of a geometric sequence, find the first five terms and…

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Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: a = 5, a,+1=-3a,

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: a =-128, r=-2 Find a,

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Q: with the Find the nth term of the geometric sequence given first term u, and a common ration. What…

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Q: Given the geometric sequence: 35 245 ао — Е 5, а1 — a2 3 find a formula for the n-th term: An

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Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: If the 10th term of a geometric sequence is 243 times larger than the 5th term, then what is the…

A: We have to find

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

Q: If a2 = 10 and a4 = 40, then the common ratio of the geometric sequence IS O 1 O2 3. O10 04

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.