Flashcards: Sequences

There are 2 series, \(\displaystyle \sum_{n=1}^{\infty}a_{n}\) and \(\displaystyle \sum_{n=1}^{\infty}b_{n}\), and they are both convergent. Is \(\displaystyle \sum_{n=1}^{\infty}a_{n} + \sum_{n=1}^{\infty}b_{n}\) convergent, divergent, or inconclusive?

Inconclusive

Convergent

Divergent

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