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

Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

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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: If a2 = 32 and a4 512, then the common ratio of the geometric sequence is O 3 4 13 35°C We uao

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

A: Given: ∑i=150 4i-25 The sequence is ∑i=150 4i-25=-21,-17,-13, -9.........upto 50th term

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: 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: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

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: If a2 = 18 and a4 = 162, then the common ratio of the geometric sequence is O 11 3

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Q: If the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8.…

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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: Da =-4. 3"-1

A: The given geometric sequence is,

Q: In a geometric sequence, if ɑ1 = 8 and a2 = 16 , then a4 = O 8 O 128 O 32 O 64

A: Given that                     a1=8  & a2=16 Then  ratio,           r=a2a1=168=2 , therefore…

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: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

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 geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

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Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: The common ratio in geometric sequence Is 3/2, and the fifth term is 1. Find the first three terms.

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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: Given the geometric sequence: 7 49 ao = 5, a1 a2 2 .. 20' find a formula for the n-th term: An

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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 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 geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…

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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: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

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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: 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: Find the common ratio and write out the first four terms of the geometric sequence 27-1 Common ratio…

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Q: Given a term and the common difference of an arithmetic sequences, find the explicit equation. a1 =…

A: Given that:a1=5 and d=12

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 8 16…

A: We know that the nth term of a geometric sequence is given by  a·rn-1 where a is the first term and…

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: th For a given arithmetic sequence, the 36 term, a36, is equal to 142, and the 87 term, ag7, is…

A:

Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Is the sequence geometric? If so, identify the common ratio. 3, 12, 48, 192, .. A. yes; -4 B. yes; 4…

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Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

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Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,

Q: Given the formula for the term to -n arithmetic sequence is U, = 4n – 5. The sum of the first 12…

A:

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.