A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5. What is the next term in the sequence ?

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utkalimpact utkalimpact · Answer 1 · 2017-06-30T08:50:24+02:00

given f(n+1) =-2f(n)
here f(n) =f(1) = -1.5
f(n+1) =f(2) = -2 * -1.5 = 3

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pinquancaro pinquancaro · Answer 2 · 2019-06-14T12:35:45+02:00

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.