If r = 1, will a sequence be convergent or divergent?
sequence converges
series diverges (unless a=0)
Thank you
To determine if a sequence is convergent or divergent, we need more information than just the value of "r". A sequence is a list of numbers in a specific order, and we need to know the pattern or rule that generates the terms in the sequence.
The convergence or divergence of a sequence depends on the behavior of its terms as the index (n) increases. If the terms of the sequence approach a specific finite number as n goes to infinity, the sequence is said to be convergent. On the other hand, if the terms do not approach a specific finite number, the sequence is said to be divergent.
So, we need to know the explicit term-to-term rule or pattern of the sequence in order to determine if it is convergent or divergent.