Question 18

Explanation

Given:

• $B_3 = 2$
• $B_5 = -1$
• $B_n = B_{n+2} + B_{n-1}$

We will find the value of $B_2$ using the given recursive formula.

Finding the value of B2

Use the formula with $n = 3$.

Substitute the values $B_3 = 2$ and $B_5 = -1$.

Verification

To ensure the answer is correct, we could check with another formula if needed. However, from the calculation above, it is clear that $B_2 = 3$.

Thus, the value of $B_2$ is $3$.