Question

Marko currently has $20$ tulips in his yard.

Each year he plants $5$ more.
Write a recursive formula for the number of tulips Marko has.

Answer 1

Determining the recursive formula for the number of tulips Marko has:

Recursive formula : A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s)
Marko add $5$ more plants every year.
$a_1=20$ , where $a_1$ is number of tulips at first year
$a_2=a_{2-1}+d$ , where $a_2$ number of tulips in second year and $d$ is difference which is $5$
$a_n=a_{n-1}+d$, where $a_n$ number of tulips in $n^{th}$ year

Hence, the recursive formula is $a_n=a_{n-1}+d$.