8.4 Geometric Series
Monday, September 12, 2011
11:23 AM
Review: A ball is dropped from a height of 3.0m After each bounce
it rises to 75% of its previous height. What height does it reach
after its 6th bounce?
Fractal drawing challenge
Geometric series
○ The sum of the terms in a geometric sequence
○ 3 formulas:
Examples:
1. Determine the sum of the first 10 terms in 4 + 12 + 36 + ….
Sequence & Series Page 1
2. Find the sum of the first 10 terms if a = 5 and r = 1/2
3. Determine the sum of 4 − 16 + 64 − …. − 65 536
4. Determine the sum of
Sequence & Series Page 2
5. A tennis ball bounces to 40 % of its height. Total vertical distance
is made from up and down of a bounce. The ball is dropped from
20m
a) Draw a diagram to represent 6 bounces.
b) What is the total vertical distance travelled when it hits the floor for the
6th time?
Sequence & Series Page 3
Sequence & Series Page 4