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Jamie is organizing fruit at his fruit stand in different sized bowls. He
has 5 total bowls. He puts 1 banana in the first bowl, 4 bananas in the
second bowl, 7 bananas in the third bowl. If the pattern continues,
how many total bananas will Jamie display in the bowls?



Answer :

GinnyAnswer
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].

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