Find the fifth term in the sequence that is defined as follows:
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Answer : The fifth term in the sequence is -2.
Step-by-step explanation :
As we are given that the expression to calculate the [tex]n^{th}[/tex] term.
The expression is as follows:
[tex]a_n=2(-1)^n[/tex]
where,
n is the number of term
Given:
n = 5
Now putting the value of n in the above expression, we get:
[tex]a_n=2(-1)^n[/tex]
[tex]a_5=2(-1)^5[/tex]
[tex]a_5=2\times (-1)[/tex]
[tex]a_5=-2[/tex]
Therefore, the fifth term in the sequence is -2.