Question

3.In the wild, a giant panda bear's diet consists primarily of bamboo, but in a zoo, the diet
includes other foods. On the first two days of the week, the giant panda bear at your zoo eats 34
pounds of highly nutritious biscuits and 37 pounds of bamboo, respectively.
Use inductive reasoning to create two possible sequences that describe the giant panda bear's
daily diet. Write the first five terms of each sequence.
First Sequence:
Second Sequence:
Describe the pattern you used to write each sequence. Which sequence do you think is more
likely? Explain your reasoning.

Answer 1

The sequence gives the order in which the the different types of foods are

given to the giant panda.

The possible first five terms of the sequences are;

$\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right]$

• The sequence that is more likely is the First Sequence

Reasons:

Inductive reasoning is the reasoning based on the given observation

What the giant panda bear at the zoo eats on the first two days of the week are;

First day; 34 pounds of highly nutritious biscuits

Second day; 37 pounds of bamboo

Given that the number of terms in the sequence = 5

By inductive reasoning, we have;

$\begin{tabular}{l|c|c|c|c|c|}Sequence Term& 1&2&3&4&5\\First Sequence&Biscuits&Bamboo&Biscuits&Bamboo&Biscuits\\Second Sequence&Biscuits /Bamboo&Bamboo&Bamboo/Biscuit&Bicuits &B/Bamboo\end{array}\right]$

The pattern used to write the First Sequence is as follows;

• Alternating diet of biscuit and bamboo, such that the panda has a balanced diet during the 5 periods of the sequence.

The pattern used to create the Second Sequence is as follow;

• Alternating days in which the panda has a mixed diet of biscuit and bamboo, followed by alternating single meal of bamboo and biscuit.

The sequence that is more likely is the First Sequence

• The reason why the first sequence is more likely is that it ensures that the panda eats adequate amount of each diet, thereby making the panda healthier, and cleaning the zoo much easier.

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