Question

Generate the first 5 terms of this sequence:

f(1) = 2 and f(2) = 3, f(n) = f(n - 1) + f(n - 2), for n > 2.

2, 3, 5, 7, 9

2, 3, 4, 7, 11

2, 3, 5, 9, 11

2, 3, 5, 8, 13

Answer 1

Giving a medal for who ever can gelp me with this.

Answer 2

@mathslover

Answer 3

First of all, you are given with a function of n , such that :

\(\bf{ f(n) = f(n-1) + f(n-2) }\)

For f(1) , we will just put n =1 to find f(1) . Similarly, for f(2) , we will just put n =2 in f(n) to find f(2) . . .

Answer 4

The first two terms are given to you, right?

Answer 5

@A.Squad - Please respond so that I can help you. Else, it will not be possible for me to help you.

Thanks.

Answer 6

Yes, it is given to you.

Answer 7

Right.

So, can you find f(3) , f(4) and f(5) ?

Answer 8

So, FN 3 is just FN 1 + FN 2?

Answer 9

Yes, right!

Answer 10

Then F4 is?

Answer 11

F2 + F 3?

Answer 12

Yes, good going.

Answer 13

Okay,so what's up with F(n)?

Answer 14

First of all, let us find f(3)

f(3) = f(2) + f(1) = ?

Answer 15

5

Answer 16

Good.

And similarly, can you find f(4) ?

Answer 17

That's F2 + F3 so... 8?

Answer 18

Right.

Answer 19

Similarly find f(5) .

Answer 20

F3 +F4 = 13?

Answer 21

Correct!

Answer 22

So F1 = 2, F2 = 3, F3 = 5, F4 = 8, F5 = 13?

Answer 23

Very well done.

Answer 24

Thanks so much, man...

Answer 25

You're a life saver, lol

Answer 26

I didn't do anything. You did the work - This is OpenStudy!

Answer 27

lol you still taught me how to do it.

Answer 28

:) Good Luck with your future studies.

Answer 29

Thanks :)

Answer 30

Let you know if there's anything.