Karen wants to plant a garden and surronded it with decorative stones. she has enough stones to enclose a rectangular garden with a perimeter of 68ft., and she wants the garden to cover 240ft^2. what is the length and width of her garden.

step-by-step explanation:

107 units

, 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