Intelligent Math Puzzle – Challenge 81

Challenge:

What is the last number in the 18th row in the following pattern?

First row: 2
Second row: 3 4
Third row: 5 6 7
Fourth row: 8 9 10 11
…

A- 169

B- 170

C- 171

D- 172

E- 173

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Each row has one number more than the previous row. The first row has one number, the second row has two numbers, and the 18th row has 18 numbers.
To answer the question, we should find the number of numbers in all 18 rows.
\(1 + 2 + 3 + … + 17 + 18 = \frac{18}{2}(1+18) = 171\)
The first number starts with 2. Therefore, the last number is 172 (171 +1).

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