HP 50g Graphing Calculator User Manual

Page 707

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Page 21-60

To avoid an infinite loop, make sure that start_value < end_value.

Example – calculate the summation S using a FOR…NEXT construct
The following program calculates the summation

Using a FOR…NEXT loop:

«

0

→ n S

«

0 n FOR k k SQ S +

‘S‘ STO NEXT S “S” →TAG » »

Store this program in a variable

@@S2@@. Verify the following exercises: J

3

@@@S2@@

Result: S:14

4

@@@S2@@ Result: S:30

5

@@@S2@@

Result: S:55

8

@@@S2@@ Result: S:204

10

@@@S2@@

Result: S:385

20

@@@S2@@ Result: S:2870

30

@@@S2@@

Result: S:9455

100

@@@S2@@ Result: S:338350

You may have noticed that the program is much simpler than the one stored in

@@@S1@@. There is no need to initialize k, or to increment k within the program. The
program itself takes care of producing such increments.

The FOR…STEP construct
The general form of this statement is:

start_value end_value FOR loop_index program_statements

increment STEP

The start_value, end_value, and increment of the loop index can be positive
or negative quantities. For increment > 0, execution occurs as long as the
index is less than or equal to end_value. For increment < 0, execution
occurs as long as the index is greater than or equal to end_value. Program
statements are executed at least once (e.g.,

1 0 START 1 1 STEP

returns 1)

=

=

n

k

k

S

0

2

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