All categories

3 years ago

Write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9

Mathematics

2 answers:

alexandr402 [8]3 years ago

4 0

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

==========================================

Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

-----------

The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

weeeeeb [17]3 years ago

4 0

Answer:

First term: 37

2nd term: 46

3rd term: 55

4th term: 64

Step-by-step explanation:

You might be interested in

Suppose the linear regression line y=-0.3x + 11.2 predicts the time, in

choli [55]

D y= -0.3(7) + 11.2
= 9.1

5 0

3 years ago

Read 2 more answers

How many lines of symmetry does a regular polygon with x sides have

anastassius [24]

There are actually 2 variations in this case.

> First case: the number of sides is an odd number

<span> The number of lines of symmetry is simply equal to number of sides</span>

> Second case: the number of sides is an even number

<span> The number of lines of symmetry is equal to twice the number of sides</span>

6 0

3 years ago

Read 2 more answers

Write an equation with the two points: (5,-2) and (3,4)

eimsori [14]

Answer:

$y=-3x-17$

Step-by-step explanation:

To find out the m(slope) of the equation use the formula:

$\frac{y_2-y_1}{x_2-x_1}$ .

Substitute the values:

$\frac{4--2}{3-5}$

Combine the values:

$\frac{6}{-2}$

Find the value of the fraction:

$-3$

M is -3.

The equation so far is $y=-3x+b$

To find the y intercept, substitute one pair of coordinates into the equation and solve for b:

$y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b$ .

We see that b =-17 so the full equation would be:

$y=-3x-17$ .

3 0

3 years ago

Describe the slope of these lines what do we call these lines?

zaharov [31]

Answer:

parallel lines

Step-by-step explanation:

the slope is 0

5 0

2 years ago

Which describes the behavior of the function f(x)= tan^-1(x)?

Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function $tan(x)$ is defined as $y=\frac{sin(x)}{cos(x)}$ . Since the denominator is $cos(x)$ then we know that $cos(x)=0$ when $x=\frac{\pi}{2}$

We also know that the division by 0 is not defined. Therefore, the limit of $y=tan(x)$ when "x" tends to $\frac{\pi}{2}$ is infinite.

The function $tan^{-1}(x)$ is the inverse of $tan(x)$

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function $f^{-1}(x)$ . If $f(3)=8$ , then $f^{-1}(8)=3$

This also happens for the function $tan^{-1}(x)$

If when $x \to \frac{\pi}{2}, tan(x) \to \infty$ then when $x \to \infty, tan^{-1}x \to \frac{\pi}{2}$

Then, the answer is:

$x \to \infty, f(x) \to \frac{\pi}{2}$

7 0

3 years ago