Answer:
4.5, 6.75, 10.125
Step-by-step explanation:
You just keep multiplying.
An arithmetic sequence is characterized by a common difference
The next three terms are 7.5, 12 and 16.5
The given parameters are:
[tex]\mathbf{a = 3}[/tex] --- the first term
[tex]\mathbf{d = 1.5a}[/tex] -- the common difference
[tex]\mathbf{d = 1.5(3) = 4.5}[/tex]
The nth term of an arithmetic sequence is:
[tex]\mathbf{T_n = a + (n - 1)d}[/tex]
So, we have:
[tex]\mathbf{T_2 = 3 + (2 - 1) \times 4.5 =7.5}[/tex]
[tex]\mathbf{T_3 = 3 + (3 - 1) \times 4.5 =12}[/tex]
[tex]\mathbf{T_4 = 3 + (4 - 1) \times 4.5 =16.5}[/tex]
Hence, the next three terms are 7.5, 12 and 16.5
Read more about arithmetic sequence at:
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