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Consider the sequence defined recursively by s? = 1 and sn= s n-1 + 2(n-1)...

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Algebra

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Consider the sequence defined recursively by s? = 1 and sn= s n-1 + 2(n-1) for n ? 2.(a) Give the first four terms of the sequence, s1, s2, s3 and s4.s1:s2:s3:s4(b) is the sequence monotone? Enter Yes or No.(c) Is the sequence bounded below? If so, enter a number M such that Msn for every n > 0. If not, enter No.(d) is the sequence bounded above? If so, enter a number M such that sn?M for every n ? 0. If not, enter No.(e) Does the sequence converge? If so, enter the limit it converges to. If not, enter No.

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