Question

I can't figure out what I'm doing wrong can you please help me I'll give you a lot of points and this this really hard :(

MICKEY AND MINNIE ARE EXPECTING.

THEY ARE A VERY HAPPY COUPLE.

THE DOCTOR SAID THEY ARE HAVING 5 BOYS AND 5 GIRLS.

MICKEY AND MINNIE ARE RATS.

EVERY THREE WEEKS AN ADULT RAT COUPLE CAN HAVE BABIES.

IT TAKES 6 WEEKS FOR A BABY RAT TO BECOME AN ADULT
AND BE OLD ENOUGH TO HAVE A BABY.


ASSUMING MICKEY AND MINNIE WANT TO HAVE AS MANY CHILDREN AS POSSIBLE AND THEIR OFFSPRING WANT TO HAVE AS MANY CHILDREN AS POSSIBLE,
WHAT WILL BE THEIR ENTIRE POPULATION IN ONE YEAR? (52 WEEKS)
(INCLUDING MICKEY AND MINNIE)
(ASSUME EVERY PREGNACY WILL CONSIST OF 5 BOYS AND 5 GIRLS)

Answer 1

1,495,672

Explanation:

Build a table to track the number of adult rats, 3-week old rats (let's call them teens), and baby rats.

`\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\end{array}\right]`

The pattern is this: every 3 weeks, the number of adults becomes the previous number of adults + the number of teens. The number of teens becomes the previous number of babies. And the number of babies becomes the previous number of adults × 5.

Continuing:

`\left[\begin{array}{ccccc}Week&Adult&Teen&Baby\\1&2&0&0\\3&2&0&10\\6&2&10&10\\9&12&10&10\\12&22&10&60\\15&32&60&110\\18&92&110&160\\21&202&160&460\\24&362&460&1010\\27&822&1010&1810\\30&1832&1810&4110\\33&3642&4110&9160\\36&7752&9160&18210\\39&16912&18210&38760\\42&35122&38760&84560\\45&73882&84560&175610\\48&158442&175610&369410\\51&334052&369410&792210\end{array}\right]`

So at the end of the year, there are a total of 1,495,672 rats.