This is recursive because here you have terms introduce to "previous" terms, till we reach the base situation $a_0$. Your definition of $a_n = 2n+1$ is no recursive because you"re no recursing come a base case; your definition is just a simple computation.

You are watching: Give a recursive definition of the set of positive integers that are multiples of 5.

b) $a_0 = 1$; $a_n+1 = a_n \cdot 3$

This provides us $1, 3, 9, \ldots$ so it works. (Noting the $3^0=1$.)


An concern that the welcomed answer doesn"t address is that the concern asks because that a set, no a sequence.

The appropriate answer is:

Base step:

$3 \in S$

Recursive step:

$x \in S \implies 3x \in S$

This reads that 3 is in collection $S$. If x is in $S$, climate $3x$ is additionally in $S$, for this reason recursively defining this set because it builds $\\space3,\space9\space(3(3)),\space27\space(3(9)),\space81\space(3(27))\space...\space\$


Thanks for contributing an answer to rewildtv.comematics stack Exchange!

Please be certain to answer the question. Provide details and also share her research!

But avoid

Asking because that help, clarification, or responding to various other answers.Making statements based upon opinion; back them up with references or an individual experience.

Use rewildtv.comJax to style equations. Rewildtv.comJax reference.

See more: Watch D Gray Man Season 2 - D Gray Man Episodes: Dgrayman

To learn more, watch our advice on writing good answers.

write-up Your prize Discard

By clicking “Post your Answer”, girlfriend agree come our regards to service, privacy policy and cookie plan

Not the price you're looking for? Browse various other questions tagged discrete-rewildtv.comematics or asking your own question.


site architecture / logo design © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.9.24.40305

rewildtv.comematics stack Exchange works ideal with JavaScript enabled

her privacy

By clicking “Accept all cookies”, you agree stack Exchange deserve to store cookies on your device and disclose info in accordance through our Cookie Policy.