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3 years ago

Find the sum of the first 8 terms in the sequence?

1 answer:

5 0

We need to find the 8 th term nth term is given as an=a1+(n−1)d n=8, d =-4 (common difference) a8=a1+(8−1)×d a8=1+7×(−4)

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Thea has a key on her calculator marked X. If an integer is displayed, pressing theX key chops off the first digit and moves it

Irina-Kira [14]

Step-by-step explanation:

jjsjdhhdhdhdhhfhdnjjdjdhshdsh

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3 years ago

Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =

Svetradugi [14.3K]

Answer:

$\lambda=8,\ \lambda=-5$

Step-by-step explanation:

Eigenvalues of a Matrix

Given a matrix A, the eigenvalues of A, called $\lambda$ are scalars who comply with the relation:

$det(A-\lambda I)=0$

Where I is the identity matrix

$I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]$

The matrix is given as

$A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]$

Set up the equation to solve

$det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0$

Expanding the determinant

$det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0$

$(3-\lambda)(-\lambda)-40=0$

Operating Rearranging

$\lambda^2-3\lambda-40=0$

Factoring

$(\lambda-8)(\lambda+5)=0$

Solving, we have the eigenvalues

$\boxed{\lambda=8,\ \lambda=-5}$

8 0

3 years ago

If 3x + 6 = 18, then x = ?

zaharov [31]

Answer:

X=4

Step-by-step explanation:

$3x + 6 = 18 \\ 3x = 18 - 6 \\ 3x = 12 \\ x = 4$

7 0

3 years ago

Evaluate the expression without using a calculator. In1/e^7

Sati [7]

Answer:

-7

Step-by-step explanation:

$ln(\frac{1}{e^7})\\=ln(e^{-7})\\ =-7ln(e)\\=-7$

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3 years ago

One side of a parallelogram has endpoints (3, 3) and (1, 7).. . What are the endpoints for the side opposite?. . . . (8, 1) and

tino4ka555 [31]

The endpoints for the opposite side would be (8, 1) and (6, 5). The correct answer between all the choices given is the last choice. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

3 0

2 years ago

Read 2 more answers