Find the limit of the geometric series.
1+1/2+1/4+1/8 a. 1 b.0 c. 1/2 d. 2
1 answer:
Answer:
2
Step-by-step explanation:
S=1+1/2+1/4+1/8+...
Multiply both sides by 2:
2S=2+1+1/2+1/4+1/8+....
Subtract equations:
-1S=-2
Divide both sides by -1
S=2
Or you could just keep adding more terms of the series to see it is approaching 2.
1+1/2=3/2=1.5
1+1/2+1/4=1.75
1+1/2+1/4+1/8=1.875
And so on..
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