A football team has a net yardage of −21 1/3 yards on a series of plays. The team needs a net yardage of 10 yards to get a first down. How many yards does the team have to get on the next play to get a first down? Enter your answer as a mixed number.

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Step-by-step explanation :

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answer: 590

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