Topics
Finite geometric series with sum Sn=1−ru1(1−rn), and infinite geometric series convergence when ∣r∣<1 so that S∞=1−ru1.
Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)
The sum of the first n terms in a geometric sequence is given by:
If a geometric sequence has a common ratio ∣r∣<1, then each term will be smaller than the previous term. As the terms get smaller and smaller, the sum of all the terms approaches a finite value:
Nice work completing Geometric Series, here's a quick recap of what we covered:
Exercises checked off
Finite geometric series with sum Sn=1−ru1(1−rn), and infinite geometric series convergence when ∣r∣<1 so that S∞=1−ru1.
Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)
The sum of the first n terms in a geometric sequence is given by:
If a geometric sequence has a common ratio ∣r∣<1, then each term will be smaller than the previous term. As the terms get smaller and smaller, the sum of all the terms approaches a finite value:
Nice work completing Geometric Series, here's a quick recap of what we covered:
Exercises checked off