The next two elements of the arithmetic sequence are 12 and 15. (Correct choice: E)
Arithmetic sequences are sets of elements generated by a linear equation of the form y = a + b · (n - 1), where a is the first element of the series and b is the change rate between two consecutive elements. Based on all the information shown in the statement, the third and fourth elements of the arithmetic sequence are, respectively:
n = 3
y = 3 + 6 · (3 - 2)
y = 3 + 6 · 1
y = 12
n = 4
y = 3 + 6 · (4 - 2)
y = 3 + 6 · 2
y = 3 + 12
y = 15
The next two elements of the arithmetic sequence are 12 and 15. (Correct choice: E)
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