All categories

3 years ago

Given the Arithmetic sequence A1,A2,A3,A4 44, 51, 58, 65 What is the value of A39?

2 answers:

8 0

This is an arithmetic sequence because there is a common difference between terms, a constant found when subtracting the preceding term from any term in the sequence. In this case the common difference is 7.

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=initial value, d=common difference, n=term number

Here we have a=44 and d=7 so

a(n)=44+7(n-1)

a(n)=44+7n-7

a(n)=7n+37, so the 39th term is:

a(37)=7(37)+7

a(37)=266

I am assuming that 44 is the first term, not the 5th term...if 44 was the fifth term let me know and I will edit to reflect that...

snow_lady [41]3 years ago

6 0

You might be interested in

Can someone explain division of polynomials to me please.

kykrilka [37]

Answer: Division of Polynomials is just like the long division that most of us despise but this division is with Variables

Step-by-step explanation:

Example

With whatever equation you have you will

First: set up the division putting the dividend inside the divisor outside and to the left
Second: Ignore everything past the leading terms and just focus on the leading _ of the divisor and the leading _ of the dividend (just like in regular long division.
Thirdly: Take whatever is on top and multiply is by the divisor {What is on the side} carry the result underneath put it exactly below the number from the dividend
Fourth: Multiply the number that is on top by the number that is on the side, carry what is on the side underneath putting it below the other dividend.
Fifth: Do the subtraction
Sixth To subtract change all the signs in the second line, then add down.
Next: Carry down that last term from the dividend
From there you multiply and then add down again and you should be left with the answer....

If this was to many words let me know and I will upload a picture and explain with a real equation.

3 0

3 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

7 0

2 years ago

I plugged this into photo math, but apparently I have to pay to find out how to get the answer. can you guys help me out?

dimulka [17.4K]

Photo math is charging? We don't need it. We factor the difference of two squares.

$\dfrac{5t^2-500}{t+10} = \dfrac{5(t^2- 100)}{t+10} = \dfrac{5(t-10)(t+10)}{t+10} = 5(t-10) = 5t-50$

Answer: 5t-50

8 0

3 years ago

I need the answer and the work (it’s geometry)

Kisachek [45]

Answer:

Step-by-step explanation:

The starting point is B and the ray extends towards A.

So the asnwer is D.

6 0

3 years ago

What is the solution?<br><br> 2x+y=-3

OLEGan [10]

2x+y+3=0
...................

5 0

3 years ago