Respuesta :
The nth term of seuence is 4^n and the formula for finding the nth term of the given sequence is [tex]a_{n} = 4^{n}[/tex] .
According to the given question.
We have a sequence 4, 16, 64, 256, 1024...
As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.
Here,
The first term of the given sequence is 4, or we can say that 4^1 is 4.
The second term of the sequence is 16, or we can say that 4^2 is 16.
The third term of the sequence is 64, or we can say that 4^3 is 64.
The fourth term of teh sequence is 256, or we can say that 4^4 is 256.
So, if we follow the same pattern or the rule we can say that the nth term of the given sequence is 4^n.
Thereofre, the formula for finding the nth term of the given sequence 4,16,64,256,1024, ...... is [tex]a_{n} = 4^{n}[/tex] where n = 1, 2, 3 , 4....
Hence, the nth term of seuence is 4^n and the formula for finding the nth term of the given sequence is [tex]a_{n} = 4^{n}[/tex] .
Find out more inofrmation about sequence here:
https://brainly.com/question/15412619
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