Question

Use the sequence to answer the questions.

2.5, 6, 9.5, 13, 16.5, 20, ...
What is the recursive rule for the sequence?

Answer 1

@Hero when you have a chance.

Answer 2

I put A+3.5 but my teacher said it was wrong.

Answer 3

Another answer is +7 and -3.5

Answer 4

how would it be +7?

Answer 5

+7 first and then subtract 3.5. Try with 2.5 as your first value and you'll get it

Answer 6

Would that just be the same as +3.5?

Answer 7

it is lol but if your teacher says it's wrong, then you should try alternate methods?

Answer 8

Lol

Answer 9

i mean the first thing i got was 3.5 too so... :/

Answer 10

lmao maybe I got the right answer but didnt word it right?

Answer 11

hmm maybe... did you ask your teacher why?

Answer 12

she would take 5 days to reply....

Answer 13

hmm it should be\[X _{a-1}+3.5\]??

Answer 14

I didnt put that....

Answer 15

i just put A+3.5

Answer 16

yeah that's very vague..

Answer 17

you have to state that to find Xn, you have to use the previous term +3.5 to find it

Answer 18

Oh ok that makes sense

Answer 19

The correct answer to the question depends on the symbology or variables you are expected to use to represent things such as "previous term".

Answer 20

Does say what variables.

Answer 21

*doesnt @Hero

Answer 22

There must be some reference from which the lesson material comes from. Either a textbook or online (or offline) documentation.

Answer 23

not that I see any @Hero

Answer 24

@elektroflow what did you say it was x a-1 +3.5?

Answer 25

yeah

Answer 26

Thanks

Answer 27

Earlier, you used "A" as the variable, so that must be the reference variable for arithmetic series that you were exposed to. It seems that the recursive rule would be \(A_n = A_{n-1} + 3.5\)

\(A_n\) represents a particular term of interest. So
\(A_1 = 2.5 \\ A_2 = 6 \\ A_3 = 9.5 \\ A_4 = 13 \\ A_5 = 16.5 \\ A_6 = 20\)

For example, if we wanted to find \(A_7\) We would write the following:
\(A_7 = A_6 + 3.5 = 20 + 3.5 = 23.5\)

Answer 28

@pandasurvive

Answer 29

Thanks Hero, I think you are the smartest person here tbh.

Answer 30

@pandasurvive It's not about who is the smartest. It is about the knower (the student who wants to know), the known (that which the student wishes to know), and the process of knowing (the correct course of action the knower takes in order to master the known).

Answer 31

:o God has spoken

Answer 32

Hero is correct.

Answer 33

;)