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svetoff [14.1K]
2 years ago
12

Find an equation for the nth term of the arithmetic sequence.

Mathematics
2 answers:
djyliett [7]2 years ago
8 0
1) To find out common equation for this sequence, it must be used n=1;2;3;4... etc.
2) to count a₁ use n=1. It is correct only for row  a_n=-3+-2(n-1)  result is (-3)
3) if to verify others value for n:

Liono4ka [1.6K]2 years ago
7 0
An = -3 + -2 (n) is the answer. To verify this, start replacing the"n" with numbers like so: 0, 1, 2, 3, 4, 5....etc
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A company builds computers. It costs $6,700 to build 10 computers and $12,200 to build 20 computers. Which equation models the c
Daniel [21]
The answer is <span>  </span><span>C(x) = 550x + 1200 

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8 0
3 years ago
The number 35 has the property that when its digits are both increased by 2, and
seropon [69]

Answer: The sum is 127

Step-by-step explanation:

A 2-digit number N = ab can be written as (where a and b are single-digit numbers)

a*10 + b.

Now, we want that:

(a + 2)*(b + 2) = a*10 + b.

So we must find all the solutions to that equation such that a can not be zero (if a = 0, then the number is not a 2-digit number)

We have:

(a + 2)*(b + 2) = a*b + 2*a + 2*b + 4 = a*10 + b

a*b + 2*b - b + 4 = a*10 - a*2

a*b + 4 + b = a*8

a*b + 4 + b - a*8 = 0.

Now we can give one of the variables different values, and see if the equation has solutions:

>a = 1:

1*b + 4 + b - 8 = 0

2*b - 4 = 0

b = 4/2 = 2

Then the number 12 has the property.

> if a = 2:

2*b + 4 + b -16 = 0

3b -12 = 0

b = 12/3 = 4

The number 24 has the property.

>a = 3 is already known, here the solution is 35.

>a = 4.

4*b + 4 + b - 8*4 = 0

5*b + 4 - 32 = 0

5*b = 28

b = 28/5

this is not an integer, so here we do not have a solution.

>if a = 5.

5*b + 4 + b - 8*5 = 0

6b + 4 - 40 = 0

6b - 36 = 0

b = 36/6 = 6

So the number 56 also has the property.

>if a = 6

6*b + 4 + b - 8*6 = 0

7b + 4 - 48 = 0

7b - 44 = 0

b = 44/7 this is not an integer, so here we do not have any solution.

>if a = 7

7*b + 4 + b -8*7 = 0

8b -52 = 0

b = 52/8 = 6.5 this is not an integer, so we here do not have a solution.

>if a = 8

8*b + 4 + b -8*8 = 0

9*b + 4 - 64 = 0

9*b = 60

b = 60/9 this is not an integer, so we here do not have any solution:

>if a = 9

9*b + 4 + b - 8*9 = 0

10b + 4 - 72 = 0

10b -68 = 0

b = 68/10 again, this is not an integer.

So the numbers with the property are:

12, 24, 35 and 56

And the sum is:

12 + 24 + 35 + 56 =  127

8 0
3 years ago
(3x+6)^2 subtracted from 9
N76 [4]

Answer:

- 9x² - 36x - 27

Step-by-step explanation:

9 - (3x + 6)² ← expand using FOIL

= 9 - (9x² + 36x + 36) ← distribute parenthesis by - 1

= 9 - 9x² - 36x - 36

= - 9x² - 36x - 27

7 0
3 years ago
Work out:<br> 2/3p - 3/4 = 0.2
weqwewe [10]

Answer:

2/3p - 3/4 = 2/10

2/3p = 38/40

p = 57/40 = 1 17/40

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Solve: 2/3(y+2)-5/6(y-1)=5/4(y-3)-4<br><br> please solve quickly :)
vlada-n [284]

Answer:

y=7

Step-by-step explanation:

4 0
2 years ago
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