please can you help me

Question

Enter the first 4 terms of the sequence defined by the rule given.

f(1) = 7, f(n) = f(n − 1) − 3

The first 4 terms are _____, _______, _______, _________

Answer 1

Because we are given f(1) = 7, we now that the first term (n =1) is 7.

Now, let's find the second term, when n = 2. The equation says f(n) = f(n - 1) - 3 so, plugging in 2 for "n", we get f(2) [aka "the second term"] = f(2 - 1) - 3 or f(2) = f(1) - 3 and since f(1) is 7, f(2) = 7 - 3 = 4.

Now, let's find the third term, when n = 3. The equation says f(n) = f(n - 1) - 3 so, plugging in 3 for "n", we get f(3) [aka "the third term"] = f(3 - 1) - 3 or f(3) = f(2) - 3 and since f(2) is 4, f(3) = 4 - 3 = 1.

Now, let's find the fourth term, when n = 4. The equation says f(n) = f(n - 1) - 3 so, plugging in 4 for "n", we get f(4) [aka "the fourth term"] = f(4 - 1) - 3 or f(4) = f(3) - 3 and since f(3) is 1, f(4) = 1 - 3 = -2.

So we have 7, 4, 1, and -2