Investigate the following sequences. Determine whether they converge, and if so, determine their limit. S+2 1 (an)neN with a, 2 (a,)ncn with a, = 1 (a,)meN With a, =| 4 (a,)ncN with a, = n sin . (a,)nes with a, = (uzjus 6 (a,)meN With a, = vn? + n-n 2. (a,)x With a. =+2+

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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.