04-20-2022, 01:03 PM
Information about Harmonic Number
https://en.wikipedia.org/wiki/Harmonic_number
Instead of calculating the sum of the reciprocals of the first N natural numbers
n
1 + Σ (1/x) with this summation its easy to do on some calculator that already
x=2
have this Summation Function with this program the computation speed
is fast since it doesn't have to continue sum up all the needed reciprocals from 2 up to N
----------------------------------------------------
Example: Find 50th of the Harmonic Number
50 [R/S] display answer ≈ 4.499
----------------------------------------------------
Program:
Gamo
Remark:
The Summation Formular above can be use to test on Casio fx-911ex as shown above.
https://en.wikipedia.org/wiki/Harmonic_number
Instead of calculating the sum of the reciprocals of the first N natural numbers
n
1 + Σ (1/x) with this summation its easy to do on some calculator that already
x=2
have this Summation Function with this program the computation speed
is fast since it doesn't have to continue sum up all the needed reciprocals from 2 up to N
----------------------------------------------------
Example: Find 50th of the Harmonic Number
50 [R/S] display answer ≈ 4.499
----------------------------------------------------
Program:
Code:
STO 0
1/x
ENTER ENTER ENTER // press [ENTER] three times
120
1/x
x
x
12
1/x
-
x
2
1/x
+
x
.5772156649 // this is Euler's Constant
+
RCL 0
LN
+
Gamo
Remark:
The Summation Formular above can be use to test on Casio fx-911ex as shown above.