Find the sum of the first 15 terms of the series 3 + 5 + 7 + 9 +. . . . . . n terms.___

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Solution

Given Series is an AP

Sum of n terms of an AP if first term = 3 and common difference = 2

$S_{n}$ = $\frac{n}{2}$ (2a + (n – 1)d)

$S_{20}$ = $\frac{15}{2}$ ( 6 + 14 $\times$ 2) = 255

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