geoff planted dahlias in his garden. dahlias have bulbs that divide and reproduce underground. in the first year, geoff's garden produced 8 bulbs. in the second year, it produced 16 bulbs, and in the third year, it produced 32 bulbs. if this pattern continues, how many bulbs should geoff expect in the sixth year?
8
16
32
64
128
?
256^ 8+8=16 16+16=32 32+32=64 64+64=128 128+128=256 so thats your answer
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To solve this problem, we need to determine the pattern of bulb production over the years and use it to predict the number of bulbs in the sixth year.
From the given information, we can observe that the number of bulbs is doubling each year. In the first year, there are 8 bulbs, in the second year, there are 16 bulbs (double of the first year), and in the third year, there are 32 bulbs (double of the second year). This pattern suggests exponential growth.
To find out how many bulbs Geoff should expect in the sixth year, we can continue the exponential sequence:
Year 1: 8 bulbs
Year 2: 16 bulbs
Year 3: 32 bulbs
Year 4: 64 bulbs (double of the previous year)
Year 5: 128 bulbs (double of the previous year)
Year 6: 256 bulbs (double of the previous year)
Therefore, Geoff should expect 256 bulbs in the sixth year.