SOLUTION: Find the sum of this infinite geometric series: {{{ 6-(6/2)+(6/4)-(6/8)+ . . . }}} --This is new to me. What is involved in solving this type of problem? Any directions/tips are

Question 1093240: Find the sum of this infinite geometric series:
--This is new to me. What is involved in solving this type of problem? Any directions/tips are appreciated :)
Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
common ratio,

If follow the formula, with the factor 6 on all the terms,

Answer by greenestamps(13215)   (Show Source): You can put this solution on YOUR website!

In an infinite geometric series, if the common ratio r is between -1 and +1, then the series has a finite sum, given by the formula

where a is the first term and r is the common ratio.

For your series, the first term is 6 and the common ratio is -1/2. So the sum is

Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!

Find the sum of this infinite geometric series:
--This is new to me. What is involved in solving this type of problem? Any directions/tips are appreciated :)

Sum of an infinite geometric series, or , where:
= 1st term (6, in this case)
= Common Ratio (, in this case)
------- Substituting

RELATED QUESTIONS
... (answered by Fombitz,htmentor)
Can someone help me with this? Thank you. infinite geometric series a+ar+ar^2+ar^3+...... (answered by rothauserc)
find the sum of the infinite geometric series: 9 + 6 + 4 +... (answered by benazir.sj@gmail.com)
What is the sum of the following infinite series: (1/6) + (13/6^2) + (19/6^3) + (97/6^4)... (answered by ikleyn)
What is the sum of this infinite geometric series... (answered by ikleyn)
An infinite geometric series has first term 70 and common ratio -0.23. To 2 decimal... (answered by Fombitz)
An infinite geometric series has first term 70 and common ratio -0.23. To 2 decimal... (answered by KMST)
How to find the sum of the infinite geometric series? 6 + 6/7 + 6/7^2 + 6/7^3 +... (answered by ewatrrr)
Find the sum of the infinite geometric series: 24 + 12 + 6 + 3 ... Thank you! (answered by jim_thompson5910)