Answer:
<h3>
The second term of the sequence is y-x</h3><h3>
The fourth term of the sequence is 2y-x</h3><h3>
The fifth term of the sequence is 3y-x</h3>
Step-by-step explanation:
The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y
x, _, y...
let the second term be a, fourth term be b and fifth term be c to have the sequence;
x, a, y, b, c...
According to the definition;
x+a = y... 1
a+y = b... 2 and;
y+b = c... 3
From equation 1, a = y-x
Substituting a = y-x into equation 2 to get b we have;
(y-x)+y = b
2y-x = b
b = 2y-x
Substituting b = 2y-x into equation 3 to get 'c'
y + 2y-x = c
3y-x = c
c = 3y-x
The second term of the sequence is y-x
The fourth term of the sequence is 2y-x
The fifth term of the sequence is 3y-x
Answer:
1/6
Step-by-step explanation:
the distributive property one side has to equal the other
20 words per minute is the answer
Answer:
a ratio between two different units
for example 60miles per 5 hours
Step-by-step explanation:
let me know if you need unit rate yoo :)
Answer:
Alyssa's team won 20 games.
Step-by-step explanation:
We can introduce a variable that represents how many games Alyssa's team won.
Let x<em> </em>represent how many games Alyssa's team won.
We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.
This would give us the expression 5/7 = x/28.
We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.
Solving for 5/7 = x/28 we have:
5/7 = x/28
We need to isolate x on the right side to do so we can multiply both sides by 28.
5/7 * 28 = x/28*28 simplifying
20 = x.
Therefore the number of games Alyssa's team won is 20 games.