Find the sum of an arithmettic series $38 + 35 + 32 + . . . + 2$

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Solution

Given,

$a_{n} = a + (n - 1) d$

$2 = 38 + (n - 1) (- 3)$

$n = 13$

$S_{n} = \frac{n}{2} [a + l]$

$= \frac{13}{2} [38 + 2]$

$= 260$

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