Use a CAS to perform the following steps for the sequences a. Calculate and then plot the first 25 terms of the sequence.Does the sequence appear to be bounded from above orbelow? Does it appear to converge or diverge? If it doesconverge, what is the limit L?b. If the sequence converges, find an integer N such that| an - L |≤ 0.01 for n ≥ N. How far in the sequence doyou have to get for the terms to lie within 0.0001 of L? a1 = 1, an+1 = an + (-2)n

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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.