Alocal target store bought 122 pizzas at pizza hut for its holiday party. each guest ate 1/4 of a pizza and there was no pizza left over. how many guests did target have for the party?

The first thing we must do for this case is to define variables.

We have then:

x: total number of pizzas

y: amount of pizza eaten by each guest

Therefore, the total number of guests is given by:

Substituting values we have:

Rewriting we have:

The total number of guests is equal 488.

, 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