Sum to Infinity of a Convergent Geometric Series
Sum to Infinity of a Convergent Geometric Series
Using the formula for the sum of a geometric series
Sn = a(1 - rn) and using a to be any number (e.g. a=3)
(1 – r)
use your calculator to complete the table below.
|N |R= 4 |R= -2 |R= ½ |R= -⅓ |
|1 | | | | |
|2 | | | | |
|3 | | | | |
|4 | | | | |
|5 | | | | |
|6 | | | | |
|7 | | | | |
|8 | | | | |
|10 | | | | |
|100 | | | | |
|1000 | | | | |
|∞ | | | | |
|Convergent or divergent? | | | | |
How could you rewrite the sum of a geometric series formula for the series that are convergent?
Sn =
Can you now find the sum to infinity of the geometric series 108, 36, 12, 4, …?
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