<u>Given</u>:
The nth term of the sequence is defined as ![a_n=5\times 2^{n-1}](https://tex.z-dn.net/?f=a_n%3D5%5Ctimes%202%5E%7Bn-1%7D)
We need to determine the term
of the sequence.
<u>The term </u>
:
The term
can be determined by substituting n = 5 in the nth term of the sequence ![a_n=5\times 2^{n-1}](https://tex.z-dn.net/?f=a_n%3D5%5Ctimes%202%5E%7Bn-1%7D)
Thus, we get;
![a_5=5\times 2^{5-1}](https://tex.z-dn.net/?f=a_5%3D5%5Ctimes%202%5E%7B5-1%7D)
Simplifying the expression, we get;
![a_5=5\times 2^{4}](https://tex.z-dn.net/?f=a_5%3D5%5Ctimes%202%5E%7B4%7D)
Squaring the term, we have;
![a_5=5\times 16](https://tex.z-dn.net/?f=a_5%3D5%5Ctimes%2016)
Multiplying the expression, we get;
![a_5=80](https://tex.z-dn.net/?f=a_5%3D80)
Thus, the value of the term
of the sequence is 80.