Hannah planted flowers next to the school playground. She planted 2 daisies, 3 sunflowers and 4 tulips.
What is the ratio of the number of daisies she planted to the total number of flowers she planted?

the ratio is 2:9

Step-by-step explanation:

there are a total of 9 flowers, she planted 2 daisies

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for