For which real numbers does the series converge?

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

For which real numbers kk does the series ∑n=0∞(k5)n\displaystyle \sum_{n=0}^{\infty} \left(\frac{k}{5}\right)^{n} converge?

Related theory

Browse the problem library