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What Is the Sum of the First 101 Consecutive Even

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What is the sum of the first 101 consecutive even numbers? ​


Definitions:

Quintet

A term often used in NMR spectroscopy to describe a signal pattern consisting of five peaks, indicative of the surrounding nuclear environment in molecules.

Triplet

A term in quantum physics describing a system or state with three closely related energy levels or particles.

Quartet

In NMR spectroscopy, a signal pattern of four peaks indicating the splitting of a signal due to coupling with three equivalent protons.

Doublet

In spectroscopy, a pair of closely spaced energy levels or lines, often observed in the spectra of atoms and molecules.

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