. Is it true that if a sequence (un)nEN in R is convergent if |un+1 − un| → 0. Justify your answer B. Is it true that if a sequence (un)nEN in R is convergent if |un+1 − un|≤1/(3n). Justify your answer C. Show that a sequence (un)nEN in R is convergent if its two subsequences (u2n)nEN and (u2n+1)nEN are convengent to the same limit.

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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.