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Andrews [41]
3 years ago
5

Find a28 in the arithmetic sequence: 5.8, 3.5, 1.2, -1.1,

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

Answer:

-56.3

Step-by-step explanation:

We don't have to much guessing because it tells us it is arithmetic which means it has a common difference.

That is a term minus it's previous will be the same.

3.5-5.8=-2.3

1.2-3.5=-2.3

-1.1-1.2=-2.3

In general:

a_n-a_{n-1}=-2.3 with a_1=5.8 if you wanted the recursive form.

You can also find the explicit form which would be more helpful for our task of finding the 28th term.

a_n=a_1+d(n-1) is the explicit form where d is the common difference and a_1 is the first term.

Inputting -2.3 for d and 5.8 for a_1:

a_n=5.8+-2.3(n-1)

Now the 28th term or a_{28} can be found by replacing n with 28:

a_{28}=5.8+-2.3(28-1)

a_{28}=5.8+-2.3(27)

a_{28}=-56.3

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8 0
3 years ago
What is the equation of this line?
andrew-mc [135]
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =  \frac{y_{1}-y_{2}}{x_{1}-x_{2}}
Plugging this in for our points, we get \frac{0-5}{10-0} = -5/10=-1/2 as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)

Feel free to ask further questions!
4 0
3 years ago
James had t toy cars and Paul has 13 more how many cars will James have if Paul gives him half of his cars? ANSWER FAST I WILL G
kogti [31]

Answer:

James will end up with his original t cars and half of (t+13) cars, so will have ...

... t + (t+13/2) = (3t +13)/2 . . . . cars James has after Paul's gift

Step-by-step explanation:

5 0
2 years ago
ASAP!!!!!!!!!!!!!!!!!!!
steposvetlana [31]

Answer:

V = 2143.57 cm^3

Step-by-step explanation:

We want to find the volume of the sphere

V = 4/3 pi r^3 where r is the radius and pi = 3.14

V = 4/3 ( 3.14) ( 8)^3

V = 2143.57333 cm^3

Rounding to the nearest hundredth

V = 2143.57 cm^3

3 0
2 years ago
Read 2 more answers
Which expression represents the measure of segment rs? 7x – 3 7x 5 x 5 x – 3
inn [45]

Answer:

the answer is RS=x+5

if I am right mark it as brianliest

3 0
2 years ago
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