contestada

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 term in the sequence?

Respuesta :

ghanami
hello : 
f(n + 1) = f(n) + 3 
f is a arithemetic sequence  of the common difference is : 3
f(1) = -4 ( the first term)
the next term in the sequence is : f(n) = f(1) +(n-1) d  .. d=3
f(n) =-4+(n-1)(3)
f(n) = 3n -7
calculista

we have

[tex] f(n + 1) = f(n) + 3 [/tex]

we know that

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

Find the value of [tex] f(2) [/tex]

for [tex] n=1 [/tex]

[tex] f(1 + 1) = f(1) + 3 [/tex]

[tex] f(2) = f(1) + 3 [/tex]

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

[tex] f(2) = -1 [/tex]

therefore

the answer is

the next term in the sequence is [tex] -1 [/tex]