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maksim [4K]
3 years ago
15

3, -6, 12, 4, 20, ? what is the next number in the sequence?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

<u>Answer:</u>

The next term in the sequence 3, -6, 12, 4, 20, ? is 13.

<u>Solution:</u>

The given sequence is 3,-6,12,4,20,?

We need to find the next term of the sequence. If we observe the sequence we see that the terms are increasing and decreasing one after the other. To calculate the pattern of increase and decrease we can do the following.

3-(-6) =9

-6-12=-18

12-4=8

4-20=-16

If we ignore the negative sign we can observe that the difference between the consecutive numbers has a pattern.

the first difference is 9 and the next difference is twice that of the first one.

The third difference is one less than the first one and the fourth difference is twice that of the third one.

So by logic the next number should be one less than 8 that is,

8-1=7.

Since the pattern in the sequence is that of increase and decrease.

We need to subtract 7 from 20.

=20-7=13.

Therefore, the next term in the sequence has to be 13.

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Write an explicit formula for an the nth term of the sequence 7,3, 1,....
mestny [16]

Answer:

20

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Need help with all And have to show work
kari74 [83]
Altho' I can easily guess what you're supposed to do here, I must point out that you haven't included the instructions for this problem.

I'll help you by example.  Let's look at the first problem:

"Evaluate  6(z-1) at z-4."

Due to "order of operations" rules, we must do the work inside the parentheses FIRST.  Replace the z inside (z-1) with "-4".  We obtain

6(-4-1) = 6(-5) = -30 (answer.)

Your turn.  Try the next one.  If it's unclear, as questions.
8 0
3 years ago
D) What fraction is equal to 50% of 1/4
Masteriza [31]

Answer:

1/8

Step-by-step explanation:

50% of 1/4 = 1/8

hope this helps!

4 0
3 years ago
Read 2 more answers
maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does ma
Vadim26 [7]

Answer:

5

Step-by-step explanation:

First subtract 6 from 16 to find how many cucumbers she has,

16 - 6 = 10

Now we know she has 10 cucumbers.

Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.

10 - 5 = 5

After subtracting the 5 cucumbers she gave away, we are left with 5

This means Maya has 5 cucumbers now

5 0
3 years ago
6. use the distributive property to simplify. -3(x - 10) + x
Roman55 [17]

Answer:

for 6: -2x+30

I dont know for # 8

Step-by-step explanation:

to distribute, you have to multiply -3 by x and -10.

-3(x) - -3(10) + x =

-3x + 30 + x:

then you have to add common terms

-3x + x = -2x

then replace that in your equation to get:

-2x +30

4 0
2 years ago
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