What if 16 Times something to get 16”

1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

5 0

3 years ago

A social security number consists of nine digits in a particular order, and repetition is allowed. If randomly selecting digits

Elina [12.6K]

$10^{-9}$

$1/1,000,000,000$

That's one in one billion :D

8 0

3 years ago

.3333 is considered a rational number. What makes this number rational? Explain your reasoning.

jeka57 [31]

It’s a rational number when you round it to any place value, if you don’t round, it’s not rational.

Rational numbers are fractions and decimals that don’t go on and on forever, and no fractions that are over 0.

Since .3333 doesn’t go on forever, it’s rational.

It’s rounded to the Ten Thousandths.

Examples:
Rational: 4/5 .35 6/8
Not Rational: .3333333 (forever) 4/0 6/0 .555555 (forever).

Hope this helps :)

7 0

4 years ago

Study the number line shown. Match the question with the correct letter on the number line.

RideAnS [48]

Answer:

C,B,D,A

Step-by-step explanation:

Start at 3(X) and move based on the question

5 0

3 years ago

Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 3.

babunello [35]

Answer:

D'(-6, 0) is the image of point D(-2, 0) under a dilation about the origin (0,0) with a scale factor of 3, as shown in attache figure below.

Please check the attache graph below where you can check the plot of the image D' of point D.

Step-by-step explanation:

As the point D on the coordinate plane has the vertex location

D(-2, 0)

The rule of dilation about the origin (0,0) with a scale factor of 3:

The rule states that if we dilate the point, let say D(-2, 0), under a dilation about the origin (0,0) with a scale factor of 3, all we need to multiple the coordinates of the point D with 3. The result will be the image of point D.

so

P(x, y) → P'(3x, 3y)

D(-2, 0) → D'(-6, 0) ∵ (-2×3, 0×3)=(-6, 0)

Therefore, the image of point D under a dilation about the origin (0,0) with a scale factor of 3 can be plotted at the location D'(-6, 0).

So the new location of D' is (-6, 0).

D'(-6, 0) is the image of point D(-2, 0) under a dilation about the origin (0,0) with a scale factor of 3, as shown in attache figure below.

Please check the attache graph below where you can check the plot of the image D' of point D.

3 0

3 years ago