# Letter Sequence

Pro Problems > Math > Number and Quantity > Number Theory > Patterns## Letter Sequence

Given the following sequence, what are the next two letters in the sequence?

D, H, L, P, S,...

## Solution

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A triangular number is a number which can be represented by a set of dots drawn in a triangular pattern. For example, ten is a triangular number because it can be displayed like this:

♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦ ♦

Thus, the first few triangular numbers are 1, 3, 6, 10, and 15. Find the 200th triangular number.

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If all x values are three digit numbers, what is the difference between the largest possible y and the smallest possible y?

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North, East, West, South, South, …