Series

Your task is express the sum of the following arithmetic series for n = 14:

S(n) = 11 + 13 + 15 + 17 + ... + 2n+9 + 2n+11

Correct answer:

S =  336

Step-by-step explanation:

$$\begin{gathered} a_1=11 \\ d=2 \\ {a}_n=11+2(n-1) \\ {S}_{14}=14\cdot {\displaystyle \frac{a_1+a_{14}}{2}}=14\cdot {\displaystyle \frac{11+37}{2}}=336 \end{gathered}$$

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