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A clock at London's Heathrow airport chimes every half hour. At the beginning of the n'th hour, the clock chimes n times. (For example, at

A clock at London's Heathrow airport chimes every half hour. At the beginning of the n'th hour, the clock chimes n times. (For example, at 8:00 AM the clock chimes 8 times, at 2:00 PM the clock chimes fourteen times, and at midnight the clock chimes 24 times.) The clock also chimes once at half-past every hour. Determine how many times in total the clock chimes in one full day. Use sigma notation to write the form of the series, and then find its sum. (ans: 324 times)

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