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Question: A software developer debugging a health tracking app finds that the app logs heart rate readings every 15 seconds during a 2-hour run, starting at 15-second intervals and increasing the interval by 5 seconds each time due to an algorithm glitch. If the last interval is 75 seconds, how many readings are recorded?
Question: An elementary school student builds a pattern with blocks: 2 purple, 5 blue, 8 red, and so on—each step increasing by 3 more blocks than the previous increase. The first increase was 3 blocks (from 2 to 5). If the pattern continues, what is the total number of blocks used in the first 6 layers?
Solution: The sequence of number of blocks per layer forms a sequence where the first term is 2 (layer 1), and the differences between terms increase by 3 each time:

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