Question 17 of 19beginner💡 UnderstandShort Answer2 marks

Write the digital roots of any 12 consecutive numbers. What do you observe?

Correct Answer

The digital roots of 12 consecutive numbers follow a repeating pattern: 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3 (if starting from a number with digital root 1). The pattern repeats every 9 numbers, cycling through 1 to 9.

Exercise: Digital Roots | Q: 2 | (Page Page 19)
For More Understanding

Explanation

Digital roots cycle through values 1 to 9 (or 0 for multiples of 9, which gives digital root 9). For any 12 consecutive integers, the digital roots will show a complete cycle of 1-9 followed by the beginning of the next cycle. For example, starting from 1: 1→1, 2→2, 3→3, 4→4, 5→5, 6→6, 7→7, 8→8, 9→9, 10→1, 11→2, 12→3.

Solution Steps

  1. Digital roots cycle through values 1 to 9 (or 0 for multiples of 9, which gives digital root 9).

  2. For any 12 consecutive integers, the digital roots show a complete cycle of 1-9 followed by the beginning of the next cycle.

  3. The pattern repeats every 9 numbers.

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