To determine the total number of bananas Jamie will display in the 5 bowls, let's analyze the given pattern and calculate the number of bananas in each bowl.
1. Identify the Pattern:
We observe the number of bananas in the first three bowls:
- Bowl 1: 1 banana
- Bowl 2: 4 bananas
- Bowl 3: 7 bananas
Each subsequent bowl increases by a fixed number of bananas:
- Increase from Bowl 1 to Bowl 2: [tex]\( 4 - 1 = 3 \)[/tex]
- Increase from Bowl 2 to Bowl 3: [tex]\( 7 - 4 = 3 \)[/tex]
The pattern shows that the number of bananas in each bowl increases by 3 compared to the previous bowl.
2. Extend the Pattern to the Remaining Bowls:
- Bowl 4: The number of bananas in Bowl 4 will be [tex]\( 7 + 3 = 10 \)[/tex]
- Bowl 5: The number of bananas in Bowl 5 will be [tex]\( 10 + 3 = 13 \)[/tex]
Thus, the number of bananas in each bowl is:
- Bowl 1: 1 banana
- Bowl 2: 4 bananas
- Bowl 3: 7 bananas
- Bowl 4: 10 bananas
- Bowl 5: 13 bananas
3. Calculate the Total Number of Bananas:
To find the total, we sum the bananas in all five bowls:
[tex]\[
\text{Total Bananas} = 1 + 4 + 7 + 10 + 13
\][/tex]
Add these numbers step-by-step:
[tex]\[
1 + 4 = 5
\][/tex]
[tex]\[
5 + 7 = 12
\][/tex]
[tex]\[
12 + 10 = 22
\][/tex]
[tex]\[
22 + 13 = 35
\][/tex]
4. Conclusion:
Jamie will have a total of 35 bananas displayed in the 5 bowls.
Therefore, the total number of bananas Jamie will display in the bowls is [tex]\( 35 \)[/tex].
