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

Q: Write the first five terms of the geometric sequence. a1 = 5,   r = 2

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Q: Write the explicit formula for each sequence. -4, 16, -64, 256, -1024, ... O None of the other…

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Q: Write the first five terms of the geometric sequence. an = - 5an - 1, a1 = -6

A: We will use the given relation for writing first five terms of this geometric sequence.

Q: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

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Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Given the sequence (a) 13, 29,327,481,...  Common difference, d = t1-t2=29-13=-13≠t4-t3=-581 The…

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: Write a recursive formula for each sequence. 4, 12, 36, 108, ... 9,4,-1, -6, ... %3D |for n z 2 O…

A: The given sequence,1. 4, 12, 36, 108,.....2. 9, 4, -1, -6,.......

Q: Find the general term of the arithmetic sequence$$ 6, 2,-2,-6,... .$$ O $$an= -4n+10$$ $San=2n2-3$$…

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Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given…

Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

Q: If 4x, x+2 and x-5 form an arithemtic sequence, what is the value of x? a.) 3 b.) 4 c.) 5 d.) 6

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Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: If the 3rd term of an arithmetic sequence is 18 and the 7th term is 38. Find the 10th term. Select…

A: Here, 3rd term, x3=18            7th term, x7=38 We need to find 10th term, x10

Q: Write a recursive formula for each sequence. 3, 6, 12, 24, ... 11, 5, -1, -7, ... %3D for n 2 2 for…

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

Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: write the equation of this geometric sequence and find the value of the 9th term 1/3 , 1 , 3 , 9....…

A: First identify the series than find the nth term .

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 a 8 of a geometric sequence if the first few terms of the sequence are given by -1,3,-9,27,...…

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Q: 2'4

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

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: Write the first six terms of the sequence: an = 6n

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Q: Write the first six terms of the sequence. 1, an = an 1 +3

A: Consider the recursive rule for the sequence. Put n = 2 in the recursive rule and simplify to find…

Q: a, = 3n-2n+4

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Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. 3, 1, -1, ... ag = a24 = %3D %3D

A: First find the common difference of the given arithmetic sequence than use the formula to find other…

Q: Write the first five terms of the geometric sequence a1 = 3, r = 2.

A: For the given geometric sequence: a1=3,r=2 We know,nth term of a geometric sequence is given by:…

Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: Write the first five terms of the sequence. an (5n – 4) 3.

A: Given : an = 13n5n-4

Q: If a, = 2 and a = 2a, n -1> find the first five terms of the sequence.

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Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: Write the first five terms of the geometric sequence an = -5an-1, a1 = -6.

A: Given : an = -5an-1, a1 = -6. we have to write the first five terms of the geometric sequence.

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

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: 30. Ifx', 4x + 3, 25 are in geometric sequence, find the values of x. а. -1/3 b. 1/3 or -3 с. -3 d.…

A: x2 , (4x + 3) , 25 are in geometric sequence,  Hence, ratio of successive terms is equal to the…

Q: Write the first three terms of the sequence separated by commas. 1. an = 21 + 12n 2. an = 2n2 - 10…

A: (1) Consider the provided sequence, an=21+12n Write the first three terms of the sequence. Put n=1…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t , terms of n,…

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Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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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 an arithmetic sequence: -3, -6, -9, -12, . Find for the common difference. none of the choices…

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Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

Q: 3) .., -2, -18, .. 4 A) 3 В) -2 C) 3 D) -6

A: Given a geometric series with missing terms: _____, -2 , _____ , -18 , .........

Q: Write the first five terms of the geometric sequence. an = - 5an - 1, a1 = - 6 a1 II

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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: Write the first five terms of the geometric sequence: a1 = 3, r = 2

A: It is given that a1 = 3, r = 2   formula used: nth terms of the geometric sequence is an=a1rn-1

Q: Find the missing term or terms in each geometric sequence.   ex1: ..., -4,blank, -144,... ex2:…

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Q: write the first five terms of the geometric sequence. a-2 rニ

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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: Write the first five terms of the geometric sequence an = -6an-1, a1 = -2.

A: Given: The geometric sequence an=-6an-1,  a1=-2 . The second term of the G.P can be calculated as,…

Q: Write a recursive formula for each sequence. 12, 7, 2, -3, ... 10, 30, 90, 270, ... a, = 0 %3D I for…

A: Given series :                       12 , 7 , 2 , -3 , ... Find a difference between consecutive…