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Shalnov [3]
3 years ago
7

Write an equation to represent the N'th term of the sequence (2,-1.-4,-7,...)

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer: a(n) = 5 - 3n

the sequence has:

a1 = 2

a2 = -1

a3 = -7

.........

we can see that: a2 - a1 = a3 - a2 = -3

=> the sequence is a  arithmetic sequence

=> the distance between the numbers is d = -3

because this sequence is a  arithmetic sequence

=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n

Step-by-step explanation:

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Please help!!<br> -2x = x - 5
irina [24]

Answer:

x=5/3

Step-by-step explanation:

Subtract x from both sides so you have -3x=-5. Then divide both sides by 3 and you are left with x=5/3

3 0
3 years ago
Read 2 more answers
Find the complex conjugate of the given number -1+4i
adell [148]
With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.
3 0
3 years ago
Find the value of the variable if P is between J &amp; K. <br><br> JP = 2x ; PK = 7x ; JK = 27
Nana76 [90]
J ---- P --- K

JP = 2x
PK = 7x
JK = 27

2x + 7x = 27
9x = 27
x = 27/9
x = 3

The value of P is 3.

JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21

7 0
3 years ago
What is the volume of the right rectangular prism?<br><br> what is the answer?
Kobotan [32]

Answer:

Step-by-step explanation:

Rectangular prism volume  is given by following formula

Volume = length x Width x height

For example if length = 3cm ,width = 4 cm and height = 5 cm

then its volume  = 3x4x5 = 60 cm^{2}

3 0
3 years ago
Which expressions are equivalent to the expression below?
Dmitriy789 [7]

Given :-

  • -1/3 - ( -4 + 1/6 )

To Find :-

  • The expression that is equivalent to one of the choices given .

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

<u>Hence Option </u><u>(</u><u>d)</u><u> </u><u>&</u><u> </u><u>(f) </u><u>are</u><u> correct .</u>

I hope this helps.

8 0
2 years ago
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