There is a fractional sequence of 2/1 + 3/2 + 5/3 + 8/5 + 13/8 +... Find the sum of the first 20 items of the series.

There is a fractional sequence of 2/1 + 3/2 + 5/3 + 8/5 + 13/8 +... Find the sum of the first 20 items of the series.
Program:

# Include <stdio. h> int main () {double s = 0, a = 2, B = 1; int t, I, n = 20; // change the value of n to obtain the sum of any item and for (I = 1; I <= n; I ++) {s = s + a/B; // accumulate t = a; a = a + B; // use the sum of the numerator and denominator of the previous item as the numerator B = t of the next item; // use the numerator of the previous item as the denominator of the next item} printf ("% lf \ n", s); return 0 ;}

 

Output result: 32.660261 Press any key to continue