In athletic competition, the record jump in the pole vault was 6 Meters. An athlete set a
2 answers:
Answer:
33.33%
Step-by-step explanation:
From the given question, given that;
Old record = 6 meters
New record = 8 meters
The difference between the two records = New record - Old record
= 8 - 6
= 2 meters
The percentage of old record that is the difference between the two records = × 100%
= × 100%
= 33.3333%
The percentage of old record that is the difference between the two records is 33.33%.
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Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.