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M-M-MM-MAAA-MAAAAATH HALLLLLPPPPPPP MAth pls Geometric series:?
Ball 1 Description
Ball 2 Description
Ball 3 Description
Height 1
(starting point)
3 ft
3 ft
3 ft
Height 2
2.4
1.9
0.9
Height 3
1.9
1.2
0.3
Height 4
1.5
0.8
0.1
Height 5
1.2
0.5
0.02
Using complete sentences, answer the following questions: 1.What is the average common ratio between the successive height values of ball 1? Ball 2? Ball 3? Experimental errors may cause common ratios to have some variances within the data for one ball. Use the average common ratio.
2.What is the height of each ball on the fifth bounce (i.e., Height 6)? Use the geometric sequence formula, an = a1r^(n β 1) and show your work.
3.What is the total distance of the height each ball has traveled in the first five heights? Use the geometric series formula, (Sn = a_1 - a_1r^n / 1 - r)and show your work.
Thank for any help. can someone please explain how to do this, and provide me with the answers and show how they got them please? Thanks!
This is Algebra 2 BTW not geometry but the lesson is on Geometric Series.
1 Answer
- NoneLv 75 years agoFavorite Answer
Anyone clever enough to create the message header should easily be able to do this. Just divide successive heights into each other and average.
For example, the bounces of ball 1 are 3, 2.4, 1.9, 1.5 and 1.2. The respective common ratios are 0.8, 0.7917, 0.7895 and 0.8 for an average value of 0.7953. Use this value for r in the given formula an = a1r^(n -1) to get an answer of 0.9545, which as you can se, generates an r value of 0.7954.
If you don't understand this, you should talk to yoiur teacher rather than just trying to copy it into your homework.
