Answer:
The value of n for given Fibonacci series is 27
Step-by-step explanation:
Given as :
For first three Fibonacci numbers
[tex]x_1[/tex] = 1
[tex]x_2[/tex] = 2
[tex]x_3[/tex] = 3
So , for the equation
[tex]x_n[/tex] + [tex]x_(n+1)[/tex] = 55
So , from series [tex]x_n[/tex] = n
And [tex]x_(n+1)[/tex] = n + 1
So, n + ( n + 1 ) = 55
Or, 2 n + 1 = 55
Or, 2 n = 55 - 1 = 54
∴ n = [tex]\frac{54}{2}[/tex] = 27
Hence The value of n for given Fibonacci series is 27 Answer