Given:
The nth term of the sequence is defined as [tex]a_n=5\times 2^{n-1}[/tex]
We need to determine the term [tex]a_5[/tex] of the sequence.
The term [tex]a_5[/tex]:
The term [tex]a_5[/tex] can be determined by substituting n = 5 in the nth term of the sequence [tex]a_n=5\times 2^{n-1}[/tex]
Thus, we get;
[tex]a_5=5\times 2^{5-1}[/tex]
Simplifying the expression, we get;
[tex]a_5=5\times 2^{4}[/tex]
Squaring the term, we have;
[tex]a_5=5\times 16[/tex]
Multiplying the expression, we get;
[tex]a_5=80[/tex]
Thus, the value of the term [tex]a_5[/tex] of the sequence is 80.
