To represent the relationship between the set number and the number of sit-ups, you can use a simple verbal description: "The number of sit-ups in each set is half of the number in the previous set". The relationship between the set number and the number of sit-ups can be represented as a geometric sequence, where each set has half the number of sit-ups as the previous set. This can be calculated using the formula for a geometric sequence.
To represent the relationship between the set number and the number of sit-ups that Calvin and Mike do, you can use a mathematical expression or formula. In this case, the number of sit-ups in each set decreases by half compared to the previous set. You can express this relationship using an exponential decay formula:
Where:
represents the number of sit-ups in the nth set.
is the initial number of sit-ups in the first set (which is 64 in this case).
represents the reduction factor, as each subsequent set has half as many sit-ups.
n is the set number.
Using this formula, you can easily calculate the number of sit-ups in any set. For example, to find the number of sit-ups in the 4th set (n = 4), you would substitute n = 4 into the formula:
So, in the 4th set, Calvin and Mike do 8 sit-ups. This formula allows you to determine the number of sit-ups for any set without manually calculating each time.
Learn more about Geometric Sequence here:
#SPJ3
Answer:
64/2=32 32/2=16 16/2=8 8/2=4 4/2=2 2/2=1
Step-by-step explanation:
if you were to use a in and out chart you can you can set the in as the starting amount (64) and make the out/formula ÷2
11/12,8/12,5/12,2/12
25, 19, 13, 7, ...
4, 12, 36, 108, ...
–5, 5, –5, 5, ...
–3, 0, 3, 6, ...
–8, –2,1/2.1/8...
Answer:
2/5,2/10,2/20,2/40...
4, 12, 36, 108, ...
–5, 5, –5, 5, ...
Step-by-step explanation:
These 3 sets represent a geometric sequence.
A geometric sequence is a series of numbers where each number is obtained by MULTIPLYING the same fixed number to the previous number.
So, in the first sequence: 2/5,2/10,2/20,2/40...
The multiplying factor is 1/2.
In the second sequence: 4, 12, 36, 108, ...
The multiplying factor is 3
In the 3rd sequence: –5, 5, –5, 5, ...
The multiplying factor is -1.
Most of the other sequences are not geometric sequences, but arithmetic sequences (where the next term is obtained by ADDITION).
the one above me is correct