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Following are the test cases

Java solution

package test;

public class Program15 {
	public static void main(String[] args) {
		int a[] = {1,2,3,7,5,9};
		int b[] = {1,4,5,6,2};
		int c[] = {1,2,4,5};
		Program15.tripleUp(a);
		Program15.tripleUp(b);
		Program15.tripleUp(c);
	}
	public static boolean tripleUp(int[] nums) {
		for (int i = 0; i < nums.length-2; i++) {
			if (nums[i+1] == nums[i] + 1 && nums[i+2] == nums[i] + 2) {
				return true;
			}
		}
		return false;
	}
}

Javascript solution

const tripleUp = (nums) => {
    for (let i = 0; i < nums.length; i++) {
        if (nums[i+1] === nums[i] + 1 && nums[i+2] === nums[i] + 2) {
            return true;
        }
    }
    return false;
}

console.log(tripleUp([1,2,3,7,5,9])); //true
console.log(tripleUp([1,4,5,6,2])); //true
console.log(tripleUp([1,2,4,5])); //false