write a general formula for the nth term of the sequence. an =- 4"-1 (n+1)² an 2 n- 1 an

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

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Q: Find a formula for the nth term of the sequence. an= -1, 16, 81, 256, -625, ... Determine the…

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Write a formula for the general term (the nth term) of the sequence 3/2, 1, 1/2, 0, . . . ; a30.…

A: Given sequence, 32, 1, 12,0,...

Q: Find the formula fer the nth term of the sequence. a.) 니 6.

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Q: Write an explicit formula for the sequence 7, 2, -3, –8, –13, .. Then find a 14 а. = -5n + 12; –53…

A: Given sequence is This is an arithmetic sequence with first term a=7 and common difference d=2-7=-5…

Q: Write a formula for the general term (the nth term) of the sequence. Then use the formula to find…

A: Given: 32,1,12,0....a30 We have to write n th formula and find a30

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: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, . .…

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Q: Write the first 4 terms of the sequence. a = 7, a, = 3 an – 1 + 8, for n > 1 What is the first term?…

A: Given the sequence  a1 = 7  an = 3an-1 + 8   for n > 1 We need to find first four terms of 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: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 0.0004, -0.004, 0.04,…

A: Given:          Geometric sequence:  0.0004, -0.004, 0.04, -0.4................... First term…

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: n-1 (€) What will be the 7th term in the sequence defined by In = 2 · Enter your answer as a…

A: The objective is to find the 7th term of the sequence.

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Write an expression for the apparent nth term a n for the sequence. 10, −30, 90, −270, …

A: Given,The sequence -10, 30, -90, 270,…

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: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

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: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

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: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

A: The given geometric sequence is: 1,2,4,... There are total 32 terms.

Q: Write a formula for the general term (the nth term) of the sequence 3, 6, 12, 24, . . . ; a10. Then…

A: we have to write a formula for the general term (the nth term) of the sequence 3,6,12,24,... we have…

Q: Write an expression for the apparent nth term an of the sequence. (Assume that n begins with 1.) 4 5…

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

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Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: write the first five terms of the sequence. assume n begins with 0. an= (-1)^(n+4)! %3D

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Q: n-1 c(n) = -6 What is the 2nd term in the sequence?

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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: 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: 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: Write an expression for the apparent nth term of the sequence , -, - 16 an: (-1)"+1 an = 2h -2n an =…

A: Observe the pattern in the given sequence to find the nth term.

Q: Write an expression that gives the requested sum. The sum of the first 32 terms of the geometric…

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Q: Write a formula for the nth term of the following geometric sequence. 3 3 3 - 3, 4' 16' 64 Find a…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 1.5, -3, 6, -12, . . .…

A: Consider the given geometric sequence 1.5 , -3 , 6 , -12, ... Since the terms of the geometric…

Q: Write a formula for the n th term of the geometric sequence. Write your answers as integers or…

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Q: Write a formula for the general term (the nth term) of the sequence 2, 6, 10, 14, . . . ; a20. Then…

A: Given: 2,6,10,14,............,a20 according to given data given sequence is arithmetic sequence…

Q: Write the explicit formula for the sequence, Then find the fifth term in the sequence. O an =…

A: .

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: An arithmetic sequence includes the values 5, 27, and 71. By which of the following equations could…

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Q: Write the first five terms of the sequence. Assume that n begins with 1. An = n(n - 1)(n - 2)…

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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

Q: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

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