Question

Please help, will medal!
Give a recursive definition for the set Y of all positive multiples of 5. That is,
Y = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, ... }.
Your definition should have a base case and a recursive part.
5 is in Y.
If y is in Y, so is ___ .

Answer 1

duplicate http://openstudy.com/study#/updates/519ebd3ce4b0e9c70c329a34

Answer 2

Please read the OpenStudy terms and conditions http://openstudy.com/terms-and-conditions and OpenStudy Code of Conduct http://openstudy.com/code-of-conduct :)

Answer 3

Yes i got it... this is not a test question

Answer 4

@Callisto , can you help her?please

Answer 5

@terenzreignz please, help

Answer 6

i think the answer may have an exponent

Answer 7

show me your work, how to get exponent ?

Answer 8

well the first part is 5 is in Y..

Answer 9

the whole work, please.

Answer 10

because 5 is the multiple

Answer 11

multiple of what? your prof ask you start from n = 0 or n =1?, mine always start from n =0

Answer 12

ok, got what you mean, got what you want to go. (you have to speak out, so , i can know what you want, right? as I stated , there are many ways to come up, how can I know which way you want)
continue, you are on the right way

Answer 13

from that , I guess, you start at n =1

Answer 14

ok..

Answer 15

\[a_1 = 5\]
\[a_2 = 10 = 5 + 1*5 = a_1 + (2-1)1*5 =a_1 +1*5\]
\[a_3= 15 = 5 + 2*5 = a_1 + (3-1)*5 = a_1 + 2*5\]
.................................
\[a_n= 5 + ( n-1)*5\]
so the base case is 5 the recursive part is (n-1)*5 or 5(n-1)
that's all I know,

Answer 16

awesome thanks for your input :)

Answer 17

thanks God, at the end, I can get what you want.... hehehe... hey, please, next time, speak out what you want, if I can ,I will help, but need clue. ok? many many ways to solve, not just that.

Answer 18

lol thanks :)