Answer:
The next term in the sequence is 3.
Step-by-step explanation:
Given : A sequence is defined recursively by the formula [tex]f(n+1)=-2f(n)[/tex]. The first term of the sequence is -1.5.
To find : What is the next term in the sequence?
Solution :
The recursive formula is [tex]f(n+1)=-2f(n)[/tex]
We have given, [tex]f(1)=-1.5[/tex]
We have to find f(2)
So, Substitute n=1 in the recursive formula,
[tex]f(1+1)=-2f(1)[/tex]
[tex]f(2)=-2\times (-1.5)[/tex]
[tex]f(2)=3[/tex]
Therefore, The next term in the sequence is 3.
