Write an explicit formula for an, the nth 16, 7, -2,.... term of the sequence

Q: The 11th term in the sequence 1/6, -1/2, 3/2, -9/2, ...... can be written as ______?

A: Given geometric series,       16,-12,32,-92,.....

Q: Consider a sequence of numbers: 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32 … Please use an explicit…

A: Consider the sequence,   2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32 ………………..

Q: For the sequence 1, 4, 7, 10, .. . its nth term is

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Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

Q: Find an explicit formula for a sequence of the form a, a, a, 4, 8, 16, 32, 64, 128, 256 I an = with…

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Q: For the sequence 3, -9, 27, -81, ... determine the general term and t,

A: The given sequence is                                   3, -9, 27, -81, ............ We have to find…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

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Q: 3. Find a non-recursive formula for an for the sequence 3, 6, 12, 24, 48, 96....

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Given a1=7 and an=an-1+1

Q: The recursive formula represents the sequence {2, -22, 242,...}. What is the value of r? an = r.…

A: We will observe the sequence to find the pattern

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

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Q: Find the first five terms of the sequence defined by the following recursive definition. a, = 13 an…

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Q: For the sequence {an} defined recursively by a₁ = 1, a2 = 1, An+2 an+2 +an+1 for n > 2 Write a 44

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Q: Find the formula for the nth term of the arithmetic sequ 3, 6, 9, ... an ||

A: Given arithmetic sequence is The first term of the sequence is a=3  and common difference is…