Question

Represent Real-World Problems Write and solve a real-world problem involving a situation that can be represented by the sequence f(n) = 15 + 2(n - 1)

Answer 1

If you put n = 1, we get:

f(1) = 15 + 2 (1-1)

= 15 + 2 (0)

= 15

So, we can say the initial value is 15.

If n = 2, we have:

f(2) = 15 + 2 (2-1)

= 15 + 2(1)

= 17

If n = 3, we have:

f(3) = 15 + 2(3-1)

= 15 + 2(2)

= 15 + 4

= 19

So, we see the sequence is:

15, 17, 19

starts with 15 and increases by 2

Suppose you have 15 dollars in your bank. Each day, you add 2 dollars to your account. How much money would you have after 12 days?

We will use the equation given and put n = 12, thus:

f(12) = 15 + 2 (12-1)

= 15 + 2(11)

= 15 + 22

= $37