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Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
[tex]A_n = {4}^{n - 1} [/tex]
We want to find the tenth term of this sequence.
We substitute n=10 to get:
[tex]A_ {10}= {4}^{10 - 1} [/tex]
Simplify the exponent
[tex]A_ {10}= {4}^{9} [/tex]
Simplify the power
[tex]A_ {10}= 262144[/tex]
Therefore the 10th term is 262,144