whatevs 3 years ago Determine the geometric partial sum is convergent or divergent? can you show me the steps?

1. Ishaan94

Hmm I don't know how to do that actually? If you could post a problem, maybe then I'll be able to help you

2. whatevs

3. satellite73

any finite sum is a number so it "converges"

4. satellite73

if the question is does $\sum_{k=1}^{\infty} 3(5^k)=\lim_{n\rightarrow \infty}\sum_{k=1}^n 3\times 5^k$ converge the answer is surely not because the terms do not even go to zero, they get bigger and bigger!