For the following sequence, give an explicit formula for the nth term. 4 16 64 256 1024 5'9' 13' 17' 21 Note: a₁ = -7. Provide your answer below:

Q: Find the formula for the nth term for the arithmetic sequence where a₁ = 33 and d= -16

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Find the 15th term of the sequence 3 1 2.2.1.2.

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Q: Find the next three terms (a3, a4, and as) of the following sequence: a1 = 2 and az = 1, and for all…

A: Explanation of the answer is as follows

Q: In each of the following geometric sequences, find (i) the 9th term; (ii) the nth term. 1 4 16 3'9'…

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Q: Write an explicit formula for the sequence: 3 5 8 9 – 75 T - - 8. 14 + 71 21 + 72 28 + T3 35 + т4 42…

A: The given sequence,    38,5-π114+π1,6-π221+π2,7-π328+π3,8-π435+π4,9-π542+π5,.......

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

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: For the sequence defined by: a = 3 an Find: aj 02 a3 3 an-1 -5

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Q: Find the number of terms in the arithmetic series: 24+2+3+...+20 17 20 20

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Q: = 13, an = {3an-1 A. D A aj = 3, ap = 133 . a3 = 3,3,3 = ਤਿਤਿਓ D B. 1 = 3. a2 = 33 . a3 = 93, a = 27…

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Q: Find the formula for the nth term of the sequence c. 2, 8, 32, 128, 512 d. 3, 3√√3, 9, 9√3, 27 e.…

A: Here we use the geometric sequence for writing the answers.

Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

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Q: Find the sum of the sequence: {1 - 0.08 + 0

A: Given series is geometrical progression.

Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

Q: 10 12 e 13 – e? 14 – e 15 – e4 16 – e - - 5 8+ e 12 + e2 ' 16 + e3 ' 20 + e4 ' 24 + e5

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Q: Which is the next fraction in this sequence simplify my answer 1/88 1/44 1/22 1/11

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Q: 8. The first term of the sequence Is -3 and the common difference is 4, State the general term. 9.…

A: We have to find the general term for the given sequence for the first problem.For the second problem…

Q: For the sequence an = 6-3(n-1), its first term is ; its second term is its third term is its fourth…

A: The given sequence is .We have to find the first five terms of the sequence and find their common…

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

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Q: Write arule for the nth term of the anthmetic sequence for which ar=-10 and dis=-20

A: nth term for an arithmetic sequence is given by: an=a+(n-1)d where a is the first term of the…

Q: Write the first four terms of the sequence whose general term is given below. an = n (n-1)! a₁ =…

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Q: th he nº" term of a sequence is given. Find the indicated term. Express your answer in simplest…

A: Topic:-  algebra

Q: Write an explicit formula for the sequence 19 22 25 16 13, 3' 7' 15' 31 3 n + 10 а. an 2" +1 3 n+ 10…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: 359 17 33 2'4 8 16 32 3. 3, 5, 9, 17, 33 2.

A: 2. 32, 54, 98, 1716, 3332 3. 3, 5, 9, 17, 33 These are the first five terms of the sequences.   We…

Q: A. Solve the following and show your solution. 1. Use the definition of Fibonacci numbers to find…

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Q: Given a sequence: a1 = 6 a2 4an-1 +n What is the 4th term? (Directly type the value ONLY without "="…

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Q: 11. Given the sequence {an} = 2n2 - 3n + 4 a. List the first 6 elements of this sequence.

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Q: Find a4 when a₁ = 3 and r = - 2 Select one: O a. - 16 O b. 16 O c. 24 O d. - 24

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Q: For the sequence an = its first term is its second term is its third term is its fourth term is its…

A: The given sequence

Q: Find the formula for the n term of the following sequence: 11, 6, -25, -100, -237. th

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Q: I the nth term of the follow

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Find the formula for the nth term of the sequence a. 17, 30, 43, 56, 69, 82, ... 1 3 7 11 15 b.…

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