Find the sum of the infinite series if it exists. If it exists, round to one decimal place. If it does not exist, write none. 3 + 1.2 + 0.48 + 0.192

Question

Find the sum of the infinite series if it exists.  If it exists, round to one decimal place.  If it does not exist, write none. 3 + 1.2 + 0.48 + 0.192

anonymous · Answer

can you see this is a gp?

anonymous · Answer

what??

anonymous · Answer

A geometric progression?

anonymous · Answer

i have no clue what to do this confuses me so much

anonymous · Answer

Do you know what a geometric progression is? Simple.

anonymous · Answer

no...

anonymous · Answer

I am sorry. I cant help you. You need to refer to your textbook first, tell me what a geometric progression is. And i'll be glad to help.

anonymous · Answer

im on an online school so not textbook and i missed the lesson because i was having knee surgery.... but thanks.... :/

anonymous · Answer

Oh i see. I'm sorry if i sounded rude. 
Explaining you gp would take some time, and i have to go soon. Somebody else will help you.

anonymous · Answer

ok thank you!

anonymous · Answer

2.5 is the common ratio.. it is a geometric series

anonymous · Answer

S=$$S=\frac{3}{1-.4}=\frac{3}{.6}=5$$

anonymous · Answer

wait so the answer is 5

anonymous · Answer

yep

anonymous · Answer

what it means is that if you sum up all the possible numbers following the series (till $$\infty$$, it equals 5

anonymous · Answer

thank you!!!

anonymous · Answer

can you help me with this 
Find the sum of the infinite series if it exists.  If it exists, round to one decimal place.  If it does not exist, write none. 8 + 4 + 2 + 1

anonymous · Answer

same as before, here, the common ratio is $$r=0.5$$
$$S=\frac{a}{1-r}=\frac{8}{1-0.5}=16$$

anonymous · Answer

Find the sum of the infinite series if it exists.  If it exists, round to one decimal place.  If it does not exist, write none. 4 + 3.2 + 2.56 + 2.048 last one i think!!! and i have one i want to check my answer is that ok?