Question
Joslyn is planting daisy seeds in a flower garden. Each day, she plants a different number of seeds. The list below shows the number of seeds Joslyn planted on each of the first six days.
`1,\ 2,\ 4,\ 8,\ 16,\ 32`
Joslyn wants to determine the number of daisy seeds, `d`, she should plant on the `nth` day.
Which statements below are true? Select TWO that apply.
`1,\ 2,\ 4,\ 8,\ 16,\ 32`
Joslyn wants to determine the number of daisy seeds, `d`, she should plant on the `nth` day.
Which statements below are true? Select TWO that apply.
Answers
GPT-4o mini
The numbers of daisy seeds Joslyn planted each day form a pattern where each day's number of seeds is a power of 2:
- Day 1: \( 2^0 = 1 \)
- Day 2: \( 2^1 = 2 \)
- Day 3: \( 2^2 = 4 \)
- Day 4: \( 2^3 = 8 \)
- Day 5: \( 2^4 = 16 \)
- Day 6: \( 2^5 = 32 \)
Based on this pattern, the number of daisy seeds \( d \) that Joslyn should plant on the \( n \)th day can be expressed as:
\[
d = 2^{(n-1)}
\]
Given this, we can conclude the following statements are true:
1. The number of seeds planted on the nth day is given by \( d = 2^{(n-1)} \).
2. The number of seeds planted increases exponentially with each passing day.
If you have specific statements for verification, please provide those, and I can confirm which ones are true based on this information.
- Day 1: \( 2^0 = 1 \)
- Day 2: \( 2^1 = 2 \)
- Day 3: \( 2^2 = 4 \)
- Day 4: \( 2^3 = 8 \)
- Day 5: \( 2^4 = 16 \)
- Day 6: \( 2^5 = 32 \)
Based on this pattern, the number of daisy seeds \( d \) that Joslyn should plant on the \( n \)th day can be expressed as:
\[
d = 2^{(n-1)}
\]
Given this, we can conclude the following statements are true:
1. The number of seeds planted on the nth day is given by \( d = 2^{(n-1)} \).
2. The number of seeds planted increases exponentially with each passing day.
If you have specific statements for verification, please provide those, and I can confirm which ones are true based on this information.