1. what are the next three terms in the sequence –3, 6, 15, 24,...
a. 35, 46, 57
b. 34, 44, 54
c. 33, 44, 56
d. 33, 42, 51****
2. Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the tenth year?
a. 2,048 bulbs****
b. 1,024 bulbs
c. 40 bulbs
d. 32 bulbs
3. what are the next three terms in the sequence 3, 6, 9,12,......
a. 15, 18, 20
b. 15, 19, 21
c. 15, 18, 21****
d. 14, 18, 21
Does anyone know the 2018/ 2019 Connection Academy for the United States for Alabama???
all correct
Thank You
YALL BEIN NAUGHTY ;0000
1. To find the next three terms in the sequence –3, 6, 15, 24,..., you need to determine the pattern or rule that governs the sequence. In this case, notice that each term is obtained by adding 9 to the previous term.
To find the next term, add 9 to the last term in the sequence: 24 + 9 = 33
To find the second next term, add 9 to the newly obtained term: 33 + 9 = 42
To find the third next term, add 9 to the second next term: 42 + 9 = 51
So, the correct answer is d. 33, 42, 51.
2. In this question, we are given a pattern where the number of bulbs doubles each year. In the first year, there were 4 bulbs, in the second year, there were 8 bulbs, and in the third year, there were 16 bulbs.
To find out how many bulbs Geoff should expect in the tenth year, we can use the formula for calculating exponential growth:
Final Value = Initial Value × (Growth Rate)^(Number of Years)
In this case, the initial value is 4, the growth rate is 2 (as the number of bulbs doubles each year), and the number of years is 10.
Plugging these values into the formula, we get:
Final Value = 4 × (2)^10 = 4 × 1024 = 4096
However, the question only asks for the number of bulbs in the tenth year, so the correct answer is a. 2,048 bulbs.
3. To find the next three terms in the sequence 3, 6, 9, 12,..., we need to determine the pattern or rule that governs the sequence. In this case, notice that each term is obtained by adding 3 to the previous term.
To find the next term, add 3 to the last term in the sequence: 12 + 3 = 15
To find the second next term, add 3 to the newly obtained term: 15 + 3 = 18
To find the third next term, add 3 to the second next term: 18 + 3 = 21
So, the correct answer is c. 15, 18, 21.