As part of a sixth-grade class project, the teacher brings to class a large jar containing 200 gumballs of two different colors: red and green. andy is asked to draw a sample of his own choosing and estimate the number of red gumballs in the jar. andy draws a sample of 4040 gumballs, of which 88 are red and 3232 are green. use andy's sample to estimate the number of red gumballs in the jar.

There would be 40 red gumballs

Step-by-step explanation:

Since, out of 40 gumballs there are 8 red gumballs,

So, the ratio of red gumballs and total gumballs =

Now, let there are x red gumballs in 200 gumballs,

The ratio of red gumballs and total gumballs =

Hence, the possible number of red gumballs in the jar would be 40.

, 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