Determine whether the geometric series is convergent or divergent. 10-4+1.6-0.64+... If it convergent, find the sum.

Emily-Jane Bray 2021-06-12 Answered
Determine whether the geometric series is convergent or divergent.
\(10-4+1.6-0.64+...\)
If it convergent, find the sum.

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

SchulzD
Answered 2021-06-13 Author has 8712 answers
\(a=10\)
\(r=\frac{-4}{10}=\frac{-2}{5}\)
Now sum:
\(S_n=\frac{a}{1-r}\)
\(=\frac{10}{(1+\frac{2}{5})}\)
\(=\frac{50}{7}\)
Have a similar question?
Ask An Expert
48
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

...