Embedded Files
DO NOW
DO NOW
What is the pattern here?
1, 3, 6, 10, 15, 21, 28, 36 ... what's next?
LEARNING TARGET
LEARNING TARGET
I can find the sum of an infinite geometric sequence.
I can find the sum of an infinite geometric sequence.
I DO
I DO
what is an infinite geometric sequence?
what is an infinite geometric sequence?
It's a geometric sequence with an infinite number of terms (it goes on forever).
For example:
For example:
1, 2, 4, 8, 16 ...
2, 6, 18, 54 ...
100, 50, 25, 12.5, 6.25 ...
For the purposes of sums, there are two types of geometric sequences:
Convergent and Divergent
|r|<1 |r|>1
You can only find the sum of CONVERGENT series (|r|<1)
Why would this be true? What is the sum of a divergent series?
Why would this be true? What is the sum of a divergent series?
Let's do some examples!
Let's do some examples!
WE DO
WE DO
Let's start our work together. Work on your own when you're ready!
YOU DO
YOU DO
Complete these problems
Challenge Work
Page updated
Report abuse