Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For gallons of fuel distance traveled
miles can be given as:
∝
where is constant of proportionality.
The vehicle covers miles on
gallons.
So
Dividing both sides by 5.
∴
When gallons
miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
Answer:
Fibonacci Series has been explained and the general term and shortcut to find the corresponding term has been attached
Step-by-step explanation:
Fibonnaci is a beautiful series in mathematics where the term in the series is the sum of the previous two terms of the corresponding term in the series.
Its general form is denoted by
,
where represents the
of the Fibonnaci series.
The special thing about the Fibonacci series is that the more number of terms we proceed the ratio of the two consecutive term comes closer to the value of the Golden Ratio(φ) whose value is 1.618034.
But there is another method to find out the terms of the the Fibonacci series, which takes into account the value of φ. The formula for the following is as follows
