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DO NOW
What is the pattern here?
1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37 ... what's next?
LEARNING TARGET
LEARNING TARGET
I can find the sum of a finite geometric sequence.
I can find the sum of a finite geometric sequence.
I DO
I DO
what is a finite geometric sequence?
what is a finite geometric sequence?
It's a geometric sequence with a finite number of terms (it doesn't go on forever).
For example:
For example:
1, 2, 4, 8, 16
2, 6, 18, 54
100, 50, 25, 12.5, 6.25
How would you find the sum of these geometric sequences? ADD 'EM UP!
What if they aren't written as a list?
What if they aren't written as a list?
Sigma notation?
Sigma notation?
How does that work?
How does that work?
Recall the formula for the nth term of a geometric sequence. This will help you identify the a1, the r, and the n.
Recall the formula for the nth term of a geometric sequence. This will help you identify the a1, the r, and the n.
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
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