Answer :
Since the terms of the sequence are increasing with large magnitudes (with a multiplicative factor of 4), it appears to be a geometric sequence.
As such, we have the first term to be:
[tex]a=44[/tex]and the common ratio is:
[tex]r=\frac{176}{44}=4[/tex]Now, given that the nth term of a geometric sequence is given by:
[tex]T_n=ar^{n-1}[/tex]Thus, the fifth term is:
[tex]\begin{gathered} T_5=ar^{n-1} \\ T_5=(44)\times(4)^{5-1} \\ T_5=(44)\times(4)^4 \\ T_5=(44)\times(256) \\ T_5=11264 \end{gathered}[/tex]Also, the sixth term is:
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