java homework

Write [login to view URL] from page 212 Ninth edition. " 5.1M (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)" Pentagonal numbers illustration and general equation.... Which is Pn = ( 3 * n2 - n )/2 Note for n =1 we have one vertex point for n = 2 we share vertex points for n=1 and add four more points this gives a pentagonal P2= 5 points For P3, we share vertex points of P2 and add 7 more points this gives P3 = 12 points For P4 we add 10 more points + 12 from P3 gives a P4 = 22. You will read a single integer from standard input and print out the the first n pentagonal numbers, where n was integer just read. All numbers will be printed space then number, last pentagonal number is new line terminated. Sample Run 1 (Input 2): Enter an integer: 2 The pentagonal numbers are: 1 5 Sample Run 2 (User input's 4): Enter an integer: 4 The pentagonal numbers are: 1 5 12 22 Sample Run 3 (NetBeans output window user inputs 7) run: Enter an integer: 7 The pentagonal numbers are: 1 5 12 22 35 51 70 BUILD SUCCESSFUL (total time: 7 seconds) Hint the method getPentagonalNumber( int n ), is singular, but you can write your method to kick out and array 1..n. Hint, For [login to view URL] with input 2, you will need to output:space1space5newline, so we print a space then a number. The only catch the last number ends in newline not space. Lets look at another example, you want to read in n and print out the squares of 1 up to n^2, last one is newline terminated. For example, input n=3; Output: "The square numbers are: 1 4 9\n" - this Simple loop will work.... [login to view URL]( "The square numbers are: " ); for( int i = 1; i <= n ; ++i ) [login to view URL]( i*i + ( i-1<n ? " " : \n" ) );