TRACY — Quick, the arithmetic sequences a1, a2, a3 ... and b1, b2, b3 ... consist of 40 distinct positive integers, and a20 + b14 equals 1,000. Compute the least possible value for b20 + a14. Stumped?

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WITH the ever-widening scope of modern mathematical analysis and its many ramifications, it is quite impossible to include, in a single volume of reasonable size, an adequate and exhaustive discussion ...