243 3 and a4 Find the rule for the geometric sequence if the common ratio r

Q: If (a-1) , (a+3) and (a+12) are consecutive terms in a geometric sequence find the first term and…

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Q: What is the 12th term of the geometric sequence 7/8, 7/4, 7/2...?

A: This question is based on Geometric progression.

Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with…

A: Term formula of geometric series is Where an= n_th term r=common ratio

Q: Find an explicit formula for the geometric sequence -25,-50,-100,-200, .. Note: the first term…

A: d(1) = -25 Common ratio of G.P. = d2d1= -50-20 Common ratio of G.P. = 2

Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 8.…

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Q: Shani is drawing squares to create a geometric representation of the Fibonacci sequence. She has…

A: Given: Shani draws squares to create a geometric representation of the Fibonacci sequence, and she…

Q: 10 and a 6250 Write a rule for the n th term of the geometric sequence for which a, =

A: Given that a2 = - 10 a 6 = - 6250 We know that in a geometric sequence, a1 = a a2 = a.r a6 = a.r5…

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

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Q: th Find the 10 term of the following geometric sequence. 2, 8, 32, 128,

A: We have to solve the above GP

Q: A. Write the first five terms of the sequence with the fırst term 2 and a common difference of 3. B.…

A: Given A). a1=2  and d=3 b). a1=3 and common ratio (r)=-4

Q: Write an expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 . Give…

A: An expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 will be =…

Q: Given the geometric sequence: 40 400 a1 = 4, a2 a3 9 ... 81 find a formula for the nth term: an %3D

A: Given problem:- a1 = 4 , a2 =40/9 , a3 = 400/81 .....  find nth term of given geometric series

Q: Write an expression that gives the requested term. The 11th term of the geometric sequence with the…

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Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: The first term of a geometric sequence of positive terms is 5 and the fifth term is 1280. (i) Find…

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Q: Find the indicated term of a geometric sequence. a2 = -6 and r= 1/2 . Find a7

A: We have to find 7th term

Q: Find the nth term of the sequence, then find the 20th term. a = 3 and d = -2 %3D %3D

A: Solution:Given  a1=3  and d=-2To find :an   and a20Formula:an=a+(n-1)d

Q: 2x3 2. Find the curve whose slope at the point (x,y) is - if the 7. curve is required to pass…

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Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,…

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Q: Find the indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

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Q: The first three terms of a geometric sequence are as follows. 81. 27,9 Find the next two terms of…

A: Our objective is to find the next to turn of the geometric sequence.

Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

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Q: (i) Find how many terms there are in the geometric sequence 8, 16, ..., 2048. (ii) Find the sum of…

A: (i) The given geometric sequence is 8, 16, ..., 2048. Evaluate the common ratio as follows.…

Q: 31 and the 14" term, a 4 6. For a given geometric sequence, the 11" term, a,1, is equal to is equal…

A: A sequence is a function with the domain being the set of natural numbers and the range being the…

Q: For each arithmetic sequence, find the term named in the problem, the explicit formula, and the…

A: Given arithmetic sequence is as below

Q: rd Find the 23' term of the arithmetic sequence whose common difference is d=3 and whose first term…

A: We know that nth term of an arthmetic series is given by - an = a1 + (n-1)d. Here a1 = first term ;…

Q: Find the 10th term of the geometric sequence. a11 = -5, r = - 10th term:

A: →nth term in any geometric sequence is given by,                    an = a rn-1 , where 'a' is the…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indica Find…

A: For geometric series : given : put values :

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: Jia skipping a rock across a pond. The sequence {4.2,3.57, 3.0345, 2.5793,... } describes the height…

A: Explained below

Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

Q: 2. For the arithmetic sequence 17, 21, 25 ,... ...... a) Find a formula for the nth term. b) Use the…

A: Arithmetic progression

Q: a1=5 and a6=-40 then find a8 term of the geometric sequence.

A: Given that,                                                            a1=5, a6=-40 we have to find…

Q: Find r and a, for the geometric sequence with a4 = 5 and ag 625 (Simplify your answer. Type an…

A: The 4th and 9th term of a geometric sequence are given as a4=5,   a9=1625 respectively,  the value…

Q: Find the nth term of the geometric sequence whose initial term is a1 = 7.5 and common ratio is 9. an…

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Q: Find the common ratio and write out the first four terms of the geometric sequence -1 6n 7 Common…

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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: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

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Q: The first three terms of a geometric sequence are lnx16, lnx 8, lnx 4, for x > 0. Find the common…

A: Here given three terms in geometrical sequence. We have to calculate common ratio.

Q: For each arithmetic sequence, find the term named in the problem, the explicit formula, and the…

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Q: he third term of a geometric sequence is 36 and the tenth term is 78732 find the common ratio R:…

A: Third term of G.P is 36 Tenth term of G.P is 78732 T3=ar3-1=36......equation…

Q: Given the first term and the common difference of an arithmetic sequence find explicit rule and the…

A: The given data are first term of AP and the common difference a1=12 d= 10 We know the formula of AP…

Q: 24 Write nth term of geometric sequence. а) ај — 6, r — 3 b) a1 = 200, r = 0.5 %3D

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Q: Find the indicated term of the sequence whose nth term is given by the formula. 3n a15 315 = Need…

A: If the nth term (an) of a sequence is given then to find a term, put the value of n in an.

Q: Write an explicit rule for each geometric sequence based on the given terms from the sequence.…

A: Given: a1=6a4=162

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…