Question: Using the isPalindrome method from Section 13.2 and a recursive reverse method from Exercise E13.6, write a program to address the following mathematical hypothesis.

Using the isPalindrome method from Section 13.2 and a recursive reverse method from Exercise • E13.6, write a program to address the following mathematical hypothesis. It is believed (but not proven) that, given any decimal number, adding the number and its reversal, will eventually reach a palindrome. For example,

89 +98 = 187 187 + 781 = 968 968 + 869

Data from Exercise E13.6

Write a recursive method String reverse(String text) that reverses a string. For example, reverse("Hello!") returns the string "!olleH". Implement a recursive solution by removing the first character, reversing the remaining text, and combining the two.

89 +98 = 187 187 + 781 = 968 968 + 869 1837 ... = 1801200002107 +7012000021081 = 8813200023188 Write a program that follows this process, starting with a random big integer new BigInteger (16, new java.util.Random())

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