Respuesta :

We will see that the value of a is 12.

How to get the value of a?

We have a Fibonacci sequence, and the first four terms are:

a, 2a, 3a, 5a.

Because it is a Fibonacci sequence, the next term should be the sum of the two previous ones.

3a + 5a = 8a

Then the sum of the first 5 terms is:

(a + 2a + 3a + 5a + 8a) = 228

We can solve this for a.

(1 + 2 + 3 + 5 + 8)*a = 228

19*a = 228

a = 228/19 = 12

So we conclude that the value of a is 12.

If you want to learn more about sequences, you can read:

https://brainly.com/question/7882626