Respuesta :
The next two terms of the sequence are 96 and 192. And the formula for the nth term of the sequence is [tex]T_{n+1} = 2T_{n}[/tex].
According to the given question.
We have a sequence 3, 6, 12, 24, 48, ..
Since, the first term of the sequence is 3.
The second term of the sequence is 6.
The third term of the sequence is 12.
Here, we can say that the next term is twice the previous term.
So, the next two terms of the given sequence, i.e.
Sixth term = 48 × 2 = 96
Seventh term = 96 × 192
Therefore, the formula for the nth term of the sequence is given by
[tex]T_{n+1} = 2T_{n}[/tex].
Hence, the next two terms of the sequence are 96 and 192. And the formula for the nth term of the sequence is [tex]T_{n+1} = 2T_{n}[/tex].
Find out more information about sequence here:
https://brainly.com/question/28583598
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