Ashley and joe each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Ashley spent $152 on 12 hostas and 8 bunches of ornamental grass. Joe spent $66 on 6 hostas and 3 bunches of ornamental grass. Find the cost of one hosta and the cost of one bunch of ornamental grass.

one hosta=$6

one ornamental grass=$10

Step-by-step explanation:

6 10?

6*6+3*10

36+30

66

12*6+8*10

72+80=152

20%

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