For the infinite geometric sequence (xn) whose first four terms are 2.6,  -5.72,  12.584,  -27.6848 find the values of the first term a and the common ratio r, and write down a recurrence system for this sequence. Write down a closed form for this sequence. Calculate the 12th term of the sequence to three decimal places. Describe the long-term behaviour of the sequence. Justify your answer.

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

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Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: Find the first 4 terms of the recursively defined sequence. a1=4, a 2 = 5, an+1=an+ an-1

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Q: Find an of the geometric sequence if a5 = 15 and a7 = 375.

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Q: 4. Consider the double integral So Szy²+1 dy da dx (a) Sketch a graph of the region of integration…

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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: 5. Calculate the formula for the geometric sequence 4000, 1000, 250, 62.5,

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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.