Answer: -49,152
Step-by-step explanation
r =4 -192/-48, -48/12
8th term= -3*4^7 =-3*16384 =-49,152
The first four terms of the sequence below ; -3, -12,-48,-192, ...therefore, the 8th term of this sequence is -49,152.
Suppose the initial term of a geometric sequence is a and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
Thus, the nth term of such sequence would be [tex]T_n = ar^{n-1}[/tex](you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
The first four terms of the sequence below.
-3, -12,-48,-192, ...
We need to find the 8th term of this sequence
r = 4 = -192/-48, -48/12
8th term = -3 x 4^7
= -3 x 16384
= -49,152
Learn more about geometric sequence here:
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