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A sequence is defined recursively by the formula f(n+1)=f(n)+3. The first term of the sequence is -4. What is the next

Respuesta :

The first term is f(1) = - 4.
So, the next term is the second one f(2).

Using formula
f(n+1)=f(n)+3,
f(1+1)=f(1)+3,
f(2) = - 4 + 3 = - 1.

Answer f(2) = -1.

The first term of the sequence is -4

The next term in the sequence is -1

Given :

A sequence is defined recursively by the formula [tex]f(n+1)=f(n)+3[/tex]

The first term of the sequence is -4

[tex]f(1)=-4[/tex]

To find out the next term , we take n=1

Replace n= 1 in the given formula

[tex]f(n+1)=f(n)+3\\n=1\\f(1+1)=f(1)+3\\f(2)=-4+3\\f(2)=-1[/tex]

The next term in the sequence is -1

Learn more : brainly.com/question/1851471