To be consistent with the mystery theme, a local movie theater reported the attendance at their mystery movie festival in the form of a problem to be solved. The report stated the following: “If there were 2 times more adults plus an additional 86 adults, a total of 638 adults would have been in attendance.” Refer to the information above. If twice as many children as adults attended the festival, then how many children attended the mystery movie festival?

, 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

sounds & other waves originate from any vibrating object

step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years