Describe how you could use algebra tiles to model the equation 5x = 30

If I’m interpreting this correctly: If there are 25 tiles in groups of 5, how many groups would it take to have 25 total tiles...5 groups of 5 tiles would equal a total of 25 tiles altogether.

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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