Tony and some friends went to the movies. they bought 4 drinks and 2 tubs of popcorn and spent a total of $32.50 on the food. each drink costs $3.50 less than a tub of popcorn.

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step-by-step explanation:

i hope this is what you were looking for.

see attached graph

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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

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