If (a-1) , (a+3) and (a+12) are consecutive terms in a geometric sequence find the first term and the common ratio.

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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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 seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x – 6 respectively. Find…

A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

Q: Find these terms of the sequence (a where an=2-3)"5"

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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: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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

A: Consider the given question,The nth term of the geometric series is given by,

Q: 2'4

A: Given geometric sequence is : 1, 12, 14, ....

Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Find the first four terms and the eighth term of the sequence.

A: We have the given expression as 4+(0.1)n   We have to find   First four terms and eight term

Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

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Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

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: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: Find the 7 term of the geometric sequence:

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Q: The first three terms of an arithmetic sequence are as follows. 3, -3, -9 Find the next two terms of…

A: We know that for Arithmetic Progression, Common difference (d) = a2 - a1…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

Q: If the expressions X+2, 3x-8, 4x+2 represent the first three terms of on arithmetic Sequence, then…

A: First term , a1 = x+2 Second term, a2 = 3x -8  Third term, a3 = 4x +2  Eighteenth term, a18 = ?

Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

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Q: The tenth term of an arithmetic sequence is 40 and the twentieth term is 30. Find the common…

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Q: If the common difference of an arithmetic sequence is 4 and a(6 ) = 15, find the first term of the…

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: Find the 9th term of the geometric sequence. 2, -6, 18, -54, ...

A: As per guidelines we can solve only one question at a time, So if you need more answers kindly…

Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

Q: Use the graph to identify the common ratio of the geometric sequence. 15 10 -5

A: Answer

Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: 3) Find the sum of the first 12 terms of the geometric sequence-3,-6,-12,-24,..

A: We can solve as follows

Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: Find the indicated term of the geometric sequence. 6th term of 3, 3/4, 3/16…

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Q: (2п)! An

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Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

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

Q: If the numbers r, z+1, 2(z +3) are consecutive terms of a geometric sequence, what is the value of…

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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: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

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…

Q: Find the tenth term of the sequence: an an-1 +n a, = -8 %3D

A: We have to find tenth term