Answer:
The first four terms of the sequence are-6, -2, 2 and 6
Step-by-step explanation:
The given sequence is
In order to find the first four term of the sequence we put n =0, 1, 2 and 3.
For n =0
For n =1
For n =2
For n =3
Therefore, the first four terms of the sequence are
-6, -2, 2 and 6
Answer:
t ≈ -2.014 or 3.647
Step-by-step explanation:
Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.
4.9t² -8t -36 = 0
You can divide by 4.9 to make this a little easier to solve.
t² -(8/4.9)t -36/4.9 = 0
Now, add and subtract the square of half the x-coefficient to "complete the square."
t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0
(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify
Add the constant term, then take the square root.
(t -4/4.9)² = 192.4/4.9²
t -4/4.9 = ±(√192.4)/4.9
t = (4 ± √192.4)/4.9
t ≈ {-2.014, 3.647}
Step-by-step explanation:
Let x be the miles Kenyon ran on tuesday
Let y be the miles Kenyon ran on thursday
Given,
Mon + Tues + Wed + Thu = 8mi
also given,
Now we have x + y = 5.2 as equation 1 and -x + y = 0.4 as equation 2
Using equation 1,
Substitute this equation into equation 2.
Substitute y = 2.8 into equation 1.
Therefore Kenyon ran 2.4 miles on tuesday, and ran 2.8 miles on thursday.
Answer:
n times 5
Step-by-step explanation:
A matrix Anxn of this way is called an upper triangular matrix. It can be proved that the determinant of this kind of matrix is
In this case, it would be 5+5+...+5 (n times) = n times 5
We are going to develop each determinant by the first column taking as pivot points the elements of the diagonal