Description
6-1) (Math: pentagonal numbers) A pentagonal number is defined as n(3n–1)/2 for n = 1, 2, . . ., and so on. Therefore, the first few numbers are 1, 5, 12, 22, . . . . Write a method with the following header that returns a pentagonal number:
public static int getPentagonalNumber(int n)
Write a test program that uses this method to display the first n pentagonal
numbers with 10 numbers on each line, one space between each number, and the user entering the integer value for n.
SAMPLE RUN #1
--- Prompts For Keyboard/Console/Standard Input ---
Inputs
--- Keyboard/Console/Standard Input stdin ---
Outputs
--- Monitor/Console/Standard Output ---
176 210 247 287 330 376 425 477 532 590
What The Console Looks Like In An Interactive Session:
(Note: this combines standard input with standard output )
>java PentagonalNumbersEnter an integer for the n pentagonal numbers you want displayed: 20
1 5 12 22 35 51 70 92 117 145
176 210 247 287 330 376 425 477 532 590
SAMPLE RUN #2
--- Prompts For Keyboard/Console/Standard Input ---
Inputs
--- Keyboard/Console/Standard Input stdin ---
Outputs
--- Monitor/Console/Standard Output ---
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617
What The Console Looks Like In An Interactive Session:
(Note: this combines standard input with standard output )
>java PentagonalNumbersEnter an integer for the n pentagonal numbers you want displayed: 33
1 5 12 22 35 51 70 92 117 145
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617
SAMPLE RUN #3
--- Prompts For Keyboard/Console/Standard Input ---
Inputs
--- Keyboard/Console/Standard Input stdin ---
Outputs
--- Monitor/Console/Standard Output ---
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617 1717 1820 1926 2035 2147 2262 2380
2501 2625 2752 2882 3015 3151 3290 3432 3577 3725
3876 4030 4187 4347 4510 4676 4845 5017 5192 5370
5551 5735 5922 6112 6305 6501 6700
What The Console Looks Like In An Interactive Session:
(Note: this combines standard input with standard output )
>java PentagonalNumbersEnter an integer for the n pentagonal numbers you want displayed: 67
1 5 12 22 35 51 70 92 117 145
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617 1717 1820 1926 2035 2147 2262 2380
2501 2625 2752 2882 3015 3151 3290 3432 3577 3725
3876 4030 4187 4347 4510 4676 4845 5017 5192 5370
5551 5735 5922 6112 6305 6501 6700
SAMPLE RUN #4
--- Prompts For Keyboard/Console/Standard Input ---
Inputs
--- Keyboard/Console/Standard Input stdin ---
Outputs
--- Monitor/Console/Standard Output ---
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617 1717 1820 1926 2035 2147 2262 2380
2501 2625 2752
What The Console Looks Like In An Interactive Session:
(Note: this combines standard input with standard output )
>java PentagonalNumbersEnter an integer for the n pentagonal numbers you want displayed: 43
1 5 12 22 35 51 70 92 117 145
176 210 247 287 330 376 425 477 532 590
651 715 782 852 925 1001 1080 1162 1247 1335
1426 1520 1617 1717 1820 1926 2035 2147 2262 2380
2501 2625 2752