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4 years ago

What are the first four terms of the sequence shown below? an = n3 + n2

Mathematics

1 answer:

prisoha [69]4 years ago

8 0

Answer:

2, 12, 36, 80

Step-by-step explanation:

Substitute n = 1, 2, 3, 4 into the n th term formula, that is

a₁ = 1³ + 1² = 1 + 1 = 2

a₂ = 2³ + 2² = 8 + 4 = 12

a₃ = 3³ + 3² = 27 + 9 = 36

a₄ = 4³ + 4² = 64 + 16 = 80

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X+y=3 x-y=1 find the Find the determinants

Mkey [24]

Answer:

D = -2
Dx = -4
Dy = -2

Step-by-step explanation:

<u>System Determinant</u>

The determinant of the system is the determinant of the matrix of coefficients:

$D=\left|\begin{array}{cc}1&1\\1&-1\end{array}\right|=(1)(-1)-(1)(1)=-2$

<u>X Determinant</u>

This is the determinant of the matrix with the x-coefficients replaced by the constants.

$D_x=\left|\begin{array}{cc}3&1\\1&-1\end{array}\right|=(3)(-1)-(1)(1)=-4$

<u>Y Determinant</u>

This is the determinant of the matrix with the y-coefficients replaced by the constants.

$D_y=\left|\begin{array}{cc}1&3\\1&1\end{array}\right|=(1)(1)-(3)(1)=-2$

_____

This problem didn't ask, but the solution is ...

x = Dx/D = -4/-2 = 2

y = Dy/D = -2/-2 = 1

(x, y) = (2, 1)

3 0

3 years ago

You deposit $900 in a savings account. The account earns 4% simple interest per year. What is the balance after 8 years? What is

xeze [42]

$900+ $288( interest after 8 years)= $1, 188( total balance)

8 0

3 years ago

What is the measure of ∠DEG? A) 133° B) 103° C) 77° D) 67°

Lesechka [4]

77° is the answer to your question

7 0

3 years ago

Given: r(x) = x3 - 7, k(x) = 5 ln (2x) Find: (k ○ r) (x)

sergij07 [2.7K]

The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)

<h3>What is (k ○ r) (x) from the task content?</h3>

If follows from the task content that;

r(x) = x³ - 7 and k(x) = 5 ln (2x)

It therefore follows that;

(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).

On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).