Write down an expression for the nth term of the following sequence 7,16,25,34,43

Mathematics

1 answer:

luda_lava [24]4 years ago

5 0

Answer:

So in this sequence, we are adding by 9 in each term

So our pattern is: 7 , 7 +9 , 7 + 2(9) , 7 + 3(9) .....

hence, we can write it as: 7 + $9^{n-1}$ where n is the number of the term you want

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weston’s car drives 28 miles per gallon of gas. write an equation to represent the relationship between miles driven (y) and gal

masha68 [24]

An equation to represent the relationship between miles driven (y) and gallons of gas (x) used is $28=ky$

Let the miles driven be y.

Let the gallons of gas be x.

<u>Given the following data:</u>

Distance = 28 miles

To write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used:

<h3>How to solve a word problem.</h3>

In this exercise, we would assign a variable to the parameters stated in the question in order to write an equation to represent the relationship between miles driven (y) and gallons of gas (x) used by Weston’s car during the trip.

Also, the amount of gas used up by a car is <u>directly proportional</u> to the distance traveled by the car. Mathematically, this is given by this expression:

$x\; \alpha \;y\\
\\
x=ky$