1. Write an explicit formula for the sequence below. -2, 6, -18, ... Use your formula to find a23

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

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: An arithmetic sequence is given b elow. 28, 22, 16, 10, ... Write an explicit formula for the n th…

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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: An arithmetic sequence is given below. 18, 14, 10, 6, Write an explicit formula for the n th term…

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Q: (b) Define Sequence? Find the first five terms of the following. (-1)"-1.2"*+1

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Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

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: 3. Which of the following is a geometric sequence O 30, 15, 0, -15,.. O 3, 9, 27, 81,..

A: Option b is only in gp

Q: 22 Which explicit formula has the same value for the nth term as the geometric sequence represented…

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Q: 2. Which of the following is a finite sequence? A. 3,6, 9, 12, 15,.. B. 6,5, 4, 3, 2,1 C. 20, 22,…

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Q: 27 3. What is the formula for the nth term of the sequence: 8,-6, , 8. ...

A: The given sequence is 8, -6, 92, -278

Q: An arithmetic sequence is given below. 22, 17, 12, 7, th Write an explicit formula for the n term a

A: We have to write the formula for nth term or an for the given sequence: 22, 17, 12, 7, .... We know…

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

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Q: An arithmetic sequence is given below. 10, 3, -4, -11, th term d, Write an explicit formula for the…

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Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

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Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

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Q: 7 Find the explicit formula for the given sequence. 2, 8, 32, 128, . (A 33 · 4"-1 a = = 2 · 4"-1 a ©…

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Q: n-1 a, = 5()"- is the formula that represents the sequence: 5, ž, 4 8 5 5 5 %3D O True O False

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Q: 03. What is the third term of a sequence given the explicit formula? аn 3 —5 + 2(п — 1) А. -5 В. -3…

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Q: Find a formula for a, for the arithmetic sequence. 27, 20, 13, 6, -1,. .. an II

A: The arithmetic sequence is given by 27, 20, 13, 6, -1,... To evaluate : The expression of an

Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"

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

Q: An arithmetic sequence is given below. -6, -11, -16, -21, ... th Write an explicit formula for the n…

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Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

Q: 1. 1, 5, 9, 13, ...

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Q: 20. Find the sum of the terms of the geometric sequence 8, 4, 2, 1, . А. 17/2 В. 16 С. 12 D. 24

A: as per our guidelines we are supposed to answer only One question

Q: 05. What is the third term of a sequence given the explicit formula? an 3 —5 + 2(п — 1) A. -5 B. -3…

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Q: An arithmetic sequence is given below. -6, - 13, - 20, -27, ... th Write an explicit formula for the…

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Q: Write an expression that gives the requested sum. The sum of the first 38 terms of the geometric…

A: We know that a geometric sequence is a sequence with the ratio of consecutive terms constant. This…

Q: 1) Write the first four terms of the sequence an = n³.

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: Consider the recursive form of a geometric sequence. Starting at 2. NEXT = 4 x NOW. Which is the…

A: Given :  Recursive form of geometric…

Q: Which of the following is a geometric sequence? O 0, 1, 1, 2, 3 O 1/2, 1/4, 1/6, 1/8, 1/10 О 2,4, 6,…

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Q: - The nth term of an arithmetic sequence can be calculated with the formula a, = aj + (n – 1)d.…

A: NOTE: Refresh your page if you can't see any equations. . the arithmetic sequence is given by

Q: Find the sum of the first 15 terms of the geometric sequence shown below. 2, 6, 18, 54. . The sum of…

A: Given geometric sequence is: 2, 6, 18, 54, ...

Q: 1. Find the 15th term: Hint: Is the sequence arithmetic or geometric? -4,3,10,17, ..

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Q: Is this sequence geometric? 2,4,12,48

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Q: 4. Which of the following illustrates arithmetic sequence? * O 1,1, 2, 3, 5, 8 O 2, 4, 8, 16, 32 O…

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Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..

A: Solution..

Q: You have the following geometric sequence. Find the formula for the 3,-6,18,-54,...... a)3+(n-1)3…

A: Topic:- sequence and series

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.