If a_1=4a 1 =4 and a_n=(a_{n-1})^2+5a n =(a n−1 ) 2 +5 then find the value of a_3a 3 .
1 answer:
The value of a3 for the given recursive pattern is 446
<h3>Sequence</h3>A sequence can either follow an arithmetic progression or geometric progression or none
<h3>The terms</h3>The given parameters are:
Start by calculating a2
Substitute 4 for a1
Next, calculate a3
Substitute 21 for a2
Hence, the value of a3 is 446
Read more about sequence and patterns at:
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For this case, the first thing we are going to do is assume that all the tests are worth the same.
Then, we define a variable:
x: score of Mona's last test
We write now the inequality that models the problem:
From here, we clear the value of x:
Answer:
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
x = 87
Then, we define a variable:
x: score of Mona's last test
We write now the inequality that models the problem:
From here, we clear the value of x:
Answer:
the lowest grade that Mona can get for her last test so that her test average is 90 or more is:
x = 87
Answer:
-1/2
Step-by-step explanation:
In a linear relationship, the rate of change of one variable with respect to the other is <em>constant</em>. When we talk about <em>change</em>, we're looking for a <em>difference</em> of values.
If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the <em>rate of change </em>is the number we get by dividing one of these by the other.
The rate of change we're used to seeing, sometimes called the <em>slope</em>, is Δy/Δx. So, using the values we've already found: