The fifth term of the sequence whose formula for finding the general term is [tex]a_{n} = a_{n -1} 4[/tex] is 1280.
According to the given question.
We have
[tex]a_{1}[/tex] = 5 ( the first term of any sequence)
And the formula for finding the general term of the sequence is
[tex]a_{n} = a_{n -1} 4[/tex]
Therefore,
[tex]a_{5}[/tex] i.e the fifth term of the sequence whose formula for finding the general term is [tex]a_{n} = a_{n -1} 4[/tex] is given by
[tex]a_{5} = a_{5-1} 4[/tex]
⇒ [tex]a_{5} = a_{4} 4[/tex]
⇒ [tex]a_{5} = (a_{3}4)(4)[/tex]
⇒ [tex]a_{5} = (a_{2}4) 16[/tex]
⇒[tex]a_{5} = (a_{1} 4)64[/tex]
⇒ [tex]a_{5} = a_{1} 256[/tex]
⇒ [tex]a_{5 } = 5\times 256[/tex]
⇒ [tex]a_{5} = 1280[/tex]
Hence, the fifth term will be 1280.
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