Question

PLEASE ANSWER QUESTION QUICKLY, BUT MAKE SURE THE ANSWER IS CORRECT!!

Answer 1

Answer is : g(3) = 5

Answer 2

5

Explanation:

We can use specific values of a function to solve for unknown values.

Simplifying the Equation

Firstly, we need to simplify the final equation we were given.

• g(n) = g(n-2) + g(n-1)

We are solving for g(3), so we can plug in 3 and simplify.

• g(3) = g(3-2) + g(3-1)
• g(3) = g(1) + g(2)

Now, we have an easier equation to solve. So, we can use the values of g we know to solve for g(3).

Substitution

The substitution property of equality allows us to substitute in different values as long as they are equal. We can substitute in 0 and 5 for g(1) and g(2) since we were told that g(1)=0 and that g(2)=5.

• g(3) = 0 + 5
• g(3) = 5

Therefore, g(3) equals 5.