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Readme [11.4K]
3 years ago
7

Write an equation for the nth term of the arithmetic sequence. Then find a 30

Mathematics
1 answer:
AnnZ [28]3 years ago
6 0

Answer:

The nth term is given by: a_n = -9 + 3(n-1)

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

a_n = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that a_1 = -9, r = -6 - (-9) = -6 + 9 = 3. So

a_n = -9 + 3(n-1)

30th term:

a_30 = -9 + 3(30-1) = -9 + 87 = 78

The 30th term is 78.

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A number is x units to the right of 0 on a number line. What do you know about the opposite of the number?
Dmitry_Shevchenko [17]

Answer:

the opposite number is going to be negative because if  x is to the right of the number line then the opposite will be of the left of 0 making the opposite number negative.

Step-by-step explanation:

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7 0
2 years ago
Help meeeeeeeeeeeeeeeeeeeeeeeeeeee
pochemuha

Answer:

3

Step-by-step explanation:

I think the easiest way to go about this is to choose on of the answers and fill it in to see if it's correct. Since you only have 4 possible answers, there's no need to actually solve this.

In the question it already tells us that x does not equal 0, so that answer is automatically not correct. Now your down to three possible answers.

Start with -3. First, fill in the x with -3 for what the equation is supposed to equal. That gives you 3/-3. Simplified, that is -1. Now put -3 in for the x in the equation. That gives you 3/2(-3) + 1/2. After running that through your calculator or solving it, you end up with 0. So -3 is not your answer.

Next we'll try the 2. Do as we did last time, and fill in the x on the answer part of the equation. You now have 3/2. That doesn't simplify so it stays as is. Now for the equation. That makes it 3/2(2) +1/2. Put that in your calculator or solve, and you get 5/4. 5/4 does not equal 3/2 so 2 is not your answer.

That leaves 3. You can go ahead and run through the steps above using 3 if you want to double check, but since it's the only answer left, there isn't really a need to.

Hope this helps :)

6 0
3 years ago
The place value of the 3 in 27.4359 is _____.
melisa1 [442]
In the hundreds place so its 300
8 0
4 years ago
Read 2 more answers
For a special 16 sided die, what is the theoretical probability for rolling a number less than 9?
Leno4ka [110]

Answer:

8/16

Step-by-step explanation:

there are 16 sides on the dice and there is only 8 number that are less than 9 so that makes it 8/16:)

6 0
4 years ago
Read 2 more answers
What is the unit rate for 3 inches of rain in 6 hours?
maxonik [38]

Answer:

18

Step-by-step explanation:

3x6=18

Hope this helps!

4 0
3 years ago
Read 2 more answers
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