Okay so an in and out box is a box is basically a tale. Do you have a rule ? so if you have a rule..(which i do not know) lets say the rule is +2. lets also say that the IN says 4. Then what would be the out ? The out would be whatever 4+2 is. So basically the "out" is the outcome.
∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
<u>Assuming that you want the product of the two factors given in each problem</u>:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
<u>Let's solve:</u>
Hope that helps!