Find the sum of the series: 2 + 4 + ......... + 80 using Gauss method, where n = 100

4,200

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4,100

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4,300

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4,400

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Solution

The correct option is C 4,100
Sum of 'n' series using Gauss method is
$S_{n} = \frac{n}{2}$ (First term + Last term)
$= \frac{100}{2} (2 + 80)$
$= 50 (82)$
$S_{100} = 4, 100$

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