$$10, 15, 22, 33, 47, ?,$$

Question

$$10,      15,      22,      33,      47,      ?,$$

amistre64 · Answer

5  7  11 14
 2   4   3 
    2  -1
      3

that aint it

unklerhaukus · Answer

hmm,

loser66 · Answer

@amistre64 , logic, please

amistre64 · Answer

i was trying a difference level to see if at some point there was a constant row .... but theres not enough numbers to be sure

loser66 · Answer

got what you mean

amistre64 · Answer

.......................... 60  ; would be fine, but does not necessarily mean
5  7  11 14    13                      its correct :)
 2   4   3    -1        
    2  -1   -4
     -3    -3

unklerhaukus · Answer

60 is not the answer i am looking for,

amistre64 · Answer

we can create a polynomial that hits all those values .... but then thats not neccesarily a "correct" method either .... some context would be helpful

unklerhaukus · Answer

maybe a picture

mathslover · Answer

is it 67?

unklerhaukus · Answer

close

mathslover · Answer

oh.

mathslover · Answer

68 ....

unklerhaukus · Answer

but why?

mathslover · Answer

Is it correct? I ensure, I am not making any guess :)

amistre64 · Answer

y = -x^4/8+13x^3/12-11x^2/8+65x/12+10

ironically enough, that get (5,60) too :)

unklerhaukus · Answer

so what comes next ?

unklerhaukus · Answer

ok, next one:

10  12  15  18  22  27  33  39  47  56  68  ?

mathslover · Answer

82

mathslover · Answer

oops or is it 91?

unklerhaukus · Answer

what is the pattern?

mathslover · Answer

They follow the same pattern of every multiple of ten. 

E-6 : [there will be 6 values for each multiple of 10, for E-6 : 20% tolerance ] 

10, 15, 22, 33, 47, 68, then it continues 100, 150, 220, 330, 470, 680, 1000 etc. 

right?

mathslover · Answer

The E-12 series will have 10% tolerance 

10,12,15,18,22,27,33,39,47,56,68, 82(I think its 82) then it continues

mathslover · Answer

its practical electronics ..

unklerhaukus · Answer

But what is this pattern they are following, ?
How does the % number determine the next term in the sequence?

mathslover · Answer

Well with the help of the % , the error is calculated, right?

unklerhaukus · Answer

i guess so, i would like to know the details though

mathslover · Answer

Please refer to the pm. And I will come back after a short sleep and will try to explain it clearly. I have also forgotten something about this topic, I studied it 1.5 years ago, may be I need some source to refresh my knowledge. I will prefer books though.