Find a FORMULA for the general term an of the sequence {2, 20, 2, 20, 2, · · · } Assuming that the pattern of the first few terms continues.

Q: Write the first five terms of the sequence whose general term is an=2/n factorial

A: From provided information, term is given as:

Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1/2n +1

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Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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Q: Write the first three terms of the sequence defined by a₁ = 2, 2a +3 an +2 an +1 =

A: Given,  The sequence is defined by  an+1=[(2an+3)/(an+2)]  and a1=2 . To find first three term of…

Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?

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Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three…

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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.