Consider the sequence defined by s0 = 0, s1 = 1, s2 = 2 and sn = sn−1 − sn−2 + sn−3, for n ≥ 3. First list the first few terms of the sequence until the pattern is clear. Then determine the set of values of this sequence.

Q: C1 = -5, C, = 3c,-1 – 2 : ...

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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 S3 for the sequence: 12, 22, 32, 4², ...

A: Given :                   12,22,32,42,... To find :                 The S8 for the sequence

Q: which letter doesn't belong to the sequence: x, v, q, r, p? why?

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Q: Write the first 5 elements of the sequences: 1. a, = 3k +4

A: Given that, ak  = 3 k+ 4. To find elements in the sequence, we need to plug different values of k in…

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: zu 00{ " + uc}

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Q: Write the first 5 terms of each sequence a(1)=7,a(n)=a(n-1)-3 for n>2. 2. B(1)=2,b(n)=2•b(n-1)-1…

A: we have given relation in sequence.  We have to find the first 5 terms of the sequence

Q: List the first five terms of the sequence. a₁ = 2, an+1 = 5an - 4 a₁ = az аз 34 as "I

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Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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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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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.