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SSSSS [86.1K]
3 years ago
6

Find the 39th term of the arithmetic sequence

Mathematics
1 answer:
myrzilka [38]3 years ago
8 0

Answer:

  -142

Step-by-step explanation:

You seem to have an arithmetic sequence with first term -66 and common difference (-68-(-66)) = -2. The general term of such a sequence is given by ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

We want to evaluate this equation for a1 = -66, d = -2, n = 39:

  a39 = -66 -2(39 -1) = -66 -76 = -142

The 39th term is -142.

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One fourth of the sun of a number and two is three
Anuta_ua [19.1K]

Answer:

1/4(x+2) = 3

Step-by-step explanation:

Let's do this one thing at a time.

1/4 of a number means 1/4 times a number. We'll use x to represent "a number," so we have

1/4x

But wait: we need to add 2 to a number (sum = addition). So we have

1/4(x+2)

This is three, so we know that expression is all equal to 3.

1/4(x+2) = 3

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
A rectangular garden hasblengtg and width as given by thr expression below length 4-7(3x+4y) eifth 3x(-2y) write a simplifird ex
Dima020 [189]
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8 0
3 years ago
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NewMovies charge $4 each month to use their DVD rental service and $2.25 per DVD rental. Trya’s bill month was $31. How many DVD
dexar [7]

Answer:

Step-by-step explanation:

Let's look at a few examples where we know the number of movies.  Let's say  just 1 movie is rented.  Well, then there's the subscription charge of 4 dollars and then 2.25 for the one movie.  Two movies would be 4+2.25+2.25.  3 would be 4+2.25+2.25+2.25.  So the number of 2.25s increases with each movie.  You could brute force it and just keep adding 2.25 until you get 31, but there's a better way.  

Multiple additions like this is of course multiplication.  so one movie is 1*2.25, two is 2*2.25 and so onwe want to know how many were bought, so let's call that number something we don't know, x.  Also, you want to take into account the 4 dollar subscription fee.  This leaves us with an equation that looks like this.

4+2.25x = 31

Now, to solve for x we can do a few things to this.  I'm assuming you are new to this so I will take it slow.  Let's say it was a simpler problem.  5+x=10.  Or five plus something equals 10.  You might be able to figure it out super easily and just know that 5+5 is 10.  A way to solve it with our problem though is to take the euations 5+x=10 and manipulate it on each side of the equation.  Here, 5 is being added to x, but what if we subtract 5?  well, 5+x-5=x.  Since we did that to one side of the equation though we have to do the ame to the other side.  so 10-5.  Or in other words we subtracte 5 from both sides.

5+x=10

-5      -5

x = 5

So that's ne part of how we are going to find x in 4+2.25x = 31

4+2.25x = 31

-4               -4

2.25x = 27

Now, in the last part 5 was being added so we subtracted.  Here, 2.25 is being multiplied so we divide.  If we divide both sides by 2.25 we get x = 12, so that's the answer.

6 0
4 years ago
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