What is 7(3x-7)- 4(x+2)=ax+b
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ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.
So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.
If we subtract the first two terms, we have . If we subtract the third and second terms, we have
.
These two differences returned two different values, so the series is not arithmetic.
GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.
So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.
If we divide the first two terms, we have
If we divide the third and second terms, we have
Finally, if we divide the last two terms we have
So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2
The variable t represents the number of seconds that have passed after the release of the rocket.
<h3>Function</h3>The function can be defined as an expression that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
The height of a rocket a given number of seconds after it is released is modeled by,
As given in the above function, h (height) is the dependent variable which depends on the number of seconds t after the rocket is released (independent variable).
Hence we can conclude that the variable t represents the number of seconds after the rocket has been released.
To know more about the function, follow the link given below.