# A sequence is defined by the formula f(n + 1) = f(n) – 3. if f(4) = 22, what is f(1)?

Functions are very important concepts that form the backbone of various branches of mathematics, like calculus and algebra.

## Answer: In the given sequence, if f(4) = 22, then f(1) = 31.

Let's understand the solution in detail.

**Explanation:**

We are given that:

⇒ f(n + 1) = f(n) – 3, and

⇒ f(4) = 22

Now, when we substitute n = 3 in the given formula of the function, we get:

⇒ f(4) = f(3) - 3

⇒ f(3) = f(4) + 3

⇒ f(3) = 22 + 3 = 25

Similarly, when n = 2,

⇒ f(3) = f(2) - 3

⇒ f(2) = f(3) + 3

⇒ f(2) = 25 + 3 = 28

Similarly, when n = 1,

⇒ f(2) = f(1) - 3

⇒ f(1) = f(2) + 3

⇒ f(1) = 28 + 3 = 31