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Karolina [17]
3 years ago
11

FIND THE THIRD,FIFTH AND TENTH TERM SEQUENCE DESCRIBED BY EACH RULE

Mathematics
1 answer:
Karolina [17]3 years ago
8 0
In order to solve for a nth term in an arithmetic sequence, we use the formula written as:<span>

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

</span><span>THIRD
</span><span>A3=4+(3-1)(-5)
A3 = -6

A(3)=-2(3-1)(-5)
A3 = 20
 </span><span>
FIFTH
</span>A5=4+(5-1)(-5)
A5 = -16

A(5)=-2(5-1)(-5)
A5 = 40<span>

TENTH
</span>A10=4+(10-1)(-5)
A10 = -41

A(10)=-2(10-1)(-5)
A10 = 90
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(x-3y+ 3z=-4<br><br> 2x+3y-z =15<br><br> (4x-3y- z=19<br><br> - What is the solution to the system?
lesya [120]

Answer:

x=5,y=1 and z=-2

Step-by-step explanation:

We are given that system of equation

x-3y+3z=-4 (I equation)

2x+3y-z=15  (II equation )

4x-3y-z=19  (III equation )

Equation II multiply by 3 then add  with equation I

Then, we get

7x+6y=41 ....(Equation IV)

Subtract equation II from equation III then we get

2x-6y=4  (equation V)

Adding equation IV and equation V then, we get

9x=45

x=5

Substitute x=5 in equation V then, we get

2(5)-6y=4

10-6y=4

6y=10-4=6

y=1

Substitute x=5 and y=1 in equation then, we get

5-3(1)+3z=-4

2+3z=-4

3z=-4-2=-6

z=\frac{-6}{3}=-2

Hence, the solution for the given system of equation is given by

x=5,y=1 and z=-2

7 0
3 years ago
What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?
Irina-Kira [14]

Answer:

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Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.

7 0
3 years ago
One type of insect is 0.0052 meters long. what is this length in scientific notation?
pochemuha
Your answer would be:
5.2*10^(-3)

hope this helps!
happy thanksgiving
4 0
3 years ago
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Answer:

i believe it's c

Step-by-step explanation:

hope this helps :)

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A city has 3 new houses for every 9 old houses. If there are 21 new houses in the city, how many old houses are there?
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