Answer:
- AP
- tₙ = (n-2)k² + (2n - 3)k + n
Step-by-step explanation:
<u>Given sequence:</u>
- -k² - k + 1, k + 2, k² + 3k + 3, 2k² + 5k + 4, ...
We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.
Let's find the difference: to determine if it is a AP:
- k + 2 - (-k² - k + 1) = k + 2 + k² + k -1 = k² + 2k + 1
- k² + 3k + 3 - (k + 2) = k² + 3k + 3 - k - 2 = k² + 2k + 1
- 2k² + 5k + 4 - (k² + 3k + 3) = 2k² + 5k + 4 - k² - 3k - 3 = k² + 2k + 1
As we see the difference is common and it confirms the sequence is AP.
<u>First term is </u>
<u>Common difference is </u>
<u>nth term is:</u>
- tₙ = a₁ + (n-1)d
- tₙ = -k² - k + 1 + (n-1)(k² + 2k + 1) =
- -k² - k + 1 + (n-1)k² + (n-1)*2k + n-1 =
- (n-2)k² + (2n - 3)k + n
Answer:
3 inches
Step-by-step explanation:
Bishop can pole-vault 189 inches
The height needed is 16 x 12 inches = 192 inches
He needs to Jump 192 - 189 = 3 more inches
Answer:
The answer is: When the sample mean is not a whole number.
Explanation:
The "Sum of Squares" <em>(SS)</em> refers to the measure of the distance from the mean. This can be computed by subtracting each of the measurements from the mean. The difference will then be squared and the measurement results will be added together. This formula is known as "definitional formula." This is preferably used when the mean is a whole number and there are only a few number of scores.
On the contrary, the "computational formula" allows the calculation of the concept values. This is preferably used when the mean is not a whole number and when there are many scores.
Answer:
The law of large numbers, in probability and statistics, states that as a sample size grows, its mean gets closer to the average of the whole population.
Step-by-step explanation:
In business or at work, the term "law of large numbers" is sometimes used in a different sense to express the relationship between scale and growth rates.
I hope I helped you^^ !
Answer:
y < -2x - 4
Step-by-step explanation:
This is a guessing game. You just have to plug and chugg to find your answer.
Look at the table they gave you and plug in the x and y value into the given equations and see if they're true or not.
For example, I used the point x=-2 and y=1 from the table.
I plug that into y < -2x - 4 and got a false statement:
y < -2x - 4
(1) < -2(-2) - 4
1 < 4 - 4
1 < 0
this is false because one cannot be less than zero. Therefore this equation is the wrong one.
If you tried to plug in x=-2 and y=1 into the other 3 equations you'll see that they'll be correct.