Question

Identify the type of sequence shown in the table below and select the appropriate response.






f(n) n


1 48
2 −96
3 192
4 -384
5 768

Answer 1

Arithmetic sequence; common difference is 96

Arithmetic sequence; common difference is −144

Geometric sequence; common ratio is 3

Geometric sequence; common ratio is −2

Answer 2

Help :-:

Answer 3

is the 192 in your list supposed to be a -192?

Answer 4

No

Answer 5

then is the -768 supposed to be a positive 768?

Answer 6

Yes, I'm sorry for the typo :/ Let me see If I can fix that.

Answer 7

There we go.

Answer 8

do you know how to find arthmetic and geometric sequenses?

Answer 9

No, this is why I asked this question and I would like to learn how through the work of this problem.

Answer 10

just seeing where i needed to start. no insult was meant

Answer 11

None taken.

Answer 12

if i gave you an equation and a short list of inputs could you find the outputs?

Answer 13

I think so.

Answer 14

\[F(x)=4x+3\]
Inputs: 2,4,6,8

Answer 15

can you give me an output for those values?

Answer 16

8

Answer 17

19

Answer 18

27

Answer 19

35

Answer 20

Is this correct?

Answer 21

the first one is a little off. your answer should have been 11. Otherwise yes those are the correct values.

Answer 22

Mhm :)

Answer 23

your problem is giving you a list inputs and outputs and asking you to find the equation.

Answer 24

Oh, that's all?

Answer 25

Sounds simple.

Answer 26

so the value your looking for isn't x in our example it would be the 4 and the +3

Answer 27

its wants what the inputs are modified by

Answer 28

So would it be A?

Answer 29

if it was A then the number wouldn't keep going between positives and negatives. What do we know that causes a result to alternate between positive and negative values?

Answer 30

The negative numbers?

Answer 31

That are presented in the answer list?

Answer 32

So A and C are useless?

Answer 33

Anything that wouldn't cause our outputs to alternate between positive and negative can not be the correct answer.

Answer 34

Okay I see.

Answer 35

What causes a number to switch between positive and negative?

Answer 36

Not sure

Answer 37

If you multiply 2 by -2 what do you get?

Answer 38

-4

Answer 39

and if you multiply that by -2 again?

Answer 40

8

Answer 41

so if you multiply by a negative number what happens?

Answer 42

Turns back into a negative?

Answer 43

Its a pattern?

Answer 44

Would it be B?

Answer 45

yes, every time you multiply by a negative number it changes the sign of your result to the oppiste of what it was.

Answer 46

Thank you!

Answer 47

Does that help you figure out the answer?

Answer 48

@HydrogenCyanide