Question

write the first 5terms of the sequences if F1-F2-1 and Fn-Fn-1+Fn-2 n-3,4,5​

Answer 1

Step-by-step explanation:

We are given that F

1

=F

2

=1 and F

n

=F

n−1

+F

n−2

We can observe that a term is the sum of previous two terms.

Since we are given first two terms all other terms can calculated.

F

3

=F

2

+F

1

=1+1=2

F

4

=F

3

+F

2

=2+1=3

F

5

=F

4

+F

3

=3+2=5

Therefore the first five terms of the series are 1,1,2,3,5

This series is called Fibonacci series.