The number of buds on a plant doubles every week for six weeks. If there are two buds on the plant at the end of the first week, calculate the number of buds that there will be at the end of six weeks
2*2^5 = ____
To calculate the number of buds at the end of six weeks, we need to find the pattern of growth. We are given that the number of buds doubles every week, and there are two buds at the end of the first week.
Let's see how the number of buds grows each week:
Week 1: 2 buds
Week 2: 2 buds * 2 = 4 buds
Week 3: 4 buds * 2 = 8 buds
Week 4: 8 buds * 2 = 16 buds
Week 5: 16 buds * 2 = 32 buds
Week 6: 32 buds * 2 = 64 buds
Therefore, there will be 64 buds at the end of six weeks.
To calculate the number of buds at the end of six weeks, we need to understand how the number of buds on the plant changes each week.
According to the given information, the number of buds on the plant doubles every week. So, if there are two buds at the end of the first week, we can represent it as:
Week 1: 2 buds
Now, let's calculate the number of buds at the end of each week:
Week 2: Since the number of buds doubles every week, at the end of the second week, there will be 2 buds * 2 = 4 buds.
Week 3: Similarly, the number of buds at the end of the third week will be 4 buds * 2 = 8 buds.
Week 4: Continuing this pattern, the number of buds at the end of the fourth week will be 8 buds * 2 = 16 buds.
Week 5: The number of buds at the end of the fifth week will be 16 buds * 2 = 32 buds.
Week 6: Finally, at the end of the sixth week, the number of buds will be 32 buds * 2 = 64 buds.
Therefore, at the end of six weeks, there will be 64 buds on the plant.