MATHEMATICS MIDDLE SCHOOL

What are the first four terms of the sequence represented by the expression n(n-2)-3

Answers

Answer 1

Answer:

Answer:

As per the statement:

Given a sequence:

$a_n = n(n-2)-3$

where, n is the number of terms;

We have to find the first four terms of this sequence:

For n =1

$a_1 = 1(1-2)-3 =1(-1)-3 = -1-3 = -4$

⇒ $a_1 = -4$

For n =2

$a_2= 2(2-2)-3 =2(0)-3 = 0-3 = -3$

⇒ $a_2 = -3$

For n =3

$a_3 = 3(3-2)-3 =3(1)-3 = 3-3 = 0$

⇒ $a_3= 0$

For n =4

$a_4 = 4(4-2)-3 =4(2)-3 = 8-3 = 5$

⇒ $a_4= 5$

Therefore, the first four terms of the sequence are:

-4, -3, 0 , 5

Answer 2

Answer: $a_n=n(n-2)-3 \n \na_1=1(1-2)-3=1 * (-1)-3=-1-3=-4 \na_2=2(2-2)-3=2 * 0-3=0-3=-3 \na_3=3(3-2)-3= 3 * 1-3=3-3=0 \na_4=4(4-2)-3=4 * 2 -3 =8-3 =5$

The first four terms are -4, -3, 0, 5.

Related Questions

Figure 2 length 10 width find perimeter and area
The measure of03090°120°210°
Which is the translation of the expression below?
What is the common denominator 1/4 1/3
What is the answer: -4 - (-9)

3. Ben earns $1200 each summer and puts the money in a savings account with a 4% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?(Points : 1)
$4770
$3744
$3175
$2850

Question 4. Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same amount each year, how much money will he have at the end of his third summer?
(Points : 1)
$4770
$8464.50
$9125.70
$12,850

Question 5. Emily deposits $14,500 each year into a retirement account with a 7% simple interest rate. If she deposits the same amount each year, how much money will she have at the end of her fourth year?
(Points : 1)
$17,545
$48,045
$64,090
$75,780

Answers

Answer: The answers are (3). $3744, (4). $8464.50, (5). $62060.

Step-by-step explanation: The calculations are as follows :

(3) Here, P = $1200, r% = 4%, T=3 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(1200* 4* 3)/(100)=144.$

So, the amount of money Ben will have at the end of third summer will be

$A=3P+144=3* 1200+144=3600+144=3744.$

Thus, the amount is $3744.

(4) Here, P = $2700, r% = 4.5%, T=3 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(2700* 4.5* 3)/(100)=364.5.$

So, the amount of money Josh will have at the end of third summer will be

$A=3P+364.5=3* 2700+364.5=8100+364.5=8464.5.$

Thus, the amount is $8464.5

(5) Here, P = $14500, r% = 7%, T=4 years.

Therefore, Simple Interest is given by

$S.I.=(PrT)/(100)=(14500* 7* 4)/(100)=4060.$

So, the amount of money Emily will have at the end of fourth year will be

$A=4P+4060=4* 14500+4060=58000+4060=62060.$

Thus, the amount is $62060.

3. $3744

4. $8464.50

5. I do not think that the correct answer is in the options provided.

What is the volume of this triangular prism? A. 532 cm3 B. 54 cm3 C. 108 cm3 D. 216 cm3

Answers

C. 108cm3.

In terms of working - you do the area of a triangle (base x height / 2) which is (4x6)/2 = 24/2 = 12cm2. Then you multiply that by the length of the prism which is 9cm and 12x9 = 108 so the answer is 108cm3.

the answer is C.108 Hope I helped

Bailey was mixing some instant pudding. The directions said to add 2 cups of milk to the contents of the package. The only measuring cup that she could find was a 2
3
cup. How many times should she fill this measuring cup?

Answers

3 times because 2/3 +2/3= 1 1/3 add another third and you get 2 cups

You get 3 cups

Step-by-step explanation:

Identify the terms, like terms, coefficients, and constants of 4y + 5 +3y?

Answers

Answer:

4y+5+3y=7y+5

Step-by-step explanation:

you just combine like term 4y+3y,then +5 so the answer is 7y+5

Lots of points:school A has 480 students and 16 classrooms. school B has 192 students and 12 classrooms.
how many students would have to transfer for the ratio of students to classrooms were the same?

thanks

Answers

480 + 192 = 672 students total
16 + 12 = 28 classrooms total
672/28 = 24 students per room
24 * 12 = 288 students that need to be in school B
288 - 192 = 96 students who have to transfer

School B is the right answer

20 POINTS 2. Order the group of quadratic functions from widest to narrowest graph.

Y=2x^2 ; y=4x^2 ; y=5x^2

See photo for answer options

Answers

Answer:

the answer is A i know bc i took the test and got a 100

Step-by-step explanation:

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The cost of printing a catalog of the products that your company distributes is a flat rate of $52 plus $0.20 per copy. Let C represent the total cost of printing and x represent the number of copies. Write in symbolic form an equation that will relate C and x. Organize the data into a table of values. Begin with 500 copies, increase by increments of 500, and end with 2500 copies. a. C = 52.20x Number of Copies, x Total Cost, C 500 $52,200 1000 $78,300 1500 $104,400 2000 $130,500 2500 $156,600 c. C = 52 + 0.20x Number of Copies, x Total Cost, C 500 $252 1000 $352 1500 $452 2000 $552 2500 $652 b. C = 52.20x Number of Copies, x Total Cost, C 500 $26,100 1000 $52,200 1500 $78,300 2000 $104,400 2500 $130,500 d. C = 52 + 0.20x Number of Copies, x Total Cost, C 500 $152 1000 $252 1500 $352 2000 $452 2500 $552 Please select the best answer from the choices provided A B C D