Answer:
-3, -12, -72, -576, -5,760
Step-by-step explanation:
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The first five terms are -3, -12, -72, -576, -5760 for the recursive formula [tex]a_n=2n\times (a_{n-1})[/tex]
A sequence is a series of numbers such that all are related to one another.
The recursive formula of the sequence is [tex]a_n=2n\times (a_{n-1})[/tex] such that the first term is -3.
For the second term, n=2 so, [tex]a_2=2(2)(-3)=-12[/tex]
For the third term, n=3 so, [tex]a_3=2(3)(-12)=-72[/tex]
For the fourth term, n=4 so, [tex]a_4=2(4)(-72)=-576[/tex]
For the fifth term, n=5 so, [tex]a_5=2(5)(-576)=-5760[/tex]
Thus, the first five terms are -3, -12, -72, -576, -5760.
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