A sequence is defined by the recursive function f (n + 1) = f(n) - 2. If f (1) = 10, what is f(3)

Solution:

A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s).

The recursive formulas define the following parameters:

The first term of the sequence

The pattern rule to get any term from its previous term

Given Recursive function :

f(n + 1) = f(n) - 2 and f(1) = 10

Step1:

If n = 1, then

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

f(2) = 10 - 2

f(2) = 8

Step2:

If n = 2 , then

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

f(3) = 8 - 2

f(3) = 6

Hence the required value is 3.

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A sequence is defined by the recursive function f(n + 1) = f(n) - 2. If f (1) = 10, what is f(3)

Summary:

If a sequence is defined by the recursive function f(n + 1) = f(n) - 2. If f (1) = 10, then f(3) is 6.