Respuesta :

rgwoot
What is the third term of the sequence defined by the recursive rule f(1)=3 f(n)=f(n-1)+4

Need f(2):

f(2)=f(2-1)+4
f(2)=f(1)+4
f(2)=(3)+4=7

FIND f(3):
f(3)=f(3-1)+4
f(3)=f(2)+4
f(3)=(7)+4
f(3)=11

The third term of the sequence is 11 and this can be determined by using the given data and the arithmetic operations.

Given :

Recursive rule -- f(1) = 3, f(n) = f(n - 1) + 4

The following steps can be used in order to determine the third term of the sequence:

Step 1 - According to given data, f(1) = 3.

Step 2 - Now, substitute the value of n = 2 in the expression (f(n) = f(n - 1) + 4).

f(2) = f(2 - 1) + 4

f(2) = f(1) + 4

f(2) = 3 + 4

f(2) = 7

Step 3 - Now, substitute the value of n = 3 in the expression (f(n) = f(n - 1) + 4).

f(3) = f(3 - 1) + 4

f(3) = f(2) + 4

f(3) = 7 + 4

f(3) = 11

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https://brainly.com/question/426468