A spiral number pattern begins with the number 8 as shown below. 9 is the second number of the pattern which happens at the first corner. 10 is the third number of the pattern which happens at the second corner. 12 is the fifth number of the pattern which happens at the third corner and the spiral number pattern continues on.

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Worked solution

1. Identify the relationship between the position in the pattern and the number itself.

The pattern begins with the 1st number being $8$ .
The 2nd number is $9$ .
The 3rd number is $10$ .
In general, the $n$ -th number is $n + 7$ .

2. Calculate the 103rd number.

For the 103rd number, $n = 103$ .
The number is $103 + 7 = 110$ .

Answer

$110$

AI analysis — may contain mistakes.

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