Acertain mixture of nuts contains cashews, almonds, and macadamia nuts. each container must include three times as many almonds as cashews and twice as many cashews as macadamia nuts. if there are a total of 24 ounces in each container, how many ounces of cashews must be included?

, 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

c > -10.55

step-by-step explanation: