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Can you assist me with the correct arithmetic series sum? See attached pic.

Can you assist me with the correct arithmetic series sum? See attached pic.-example-1
User Sarmahdi
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1 Answer

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Step-by-step explanation:

The arithmetic series is given below as


\sum_{k\mathop{=}0}^(18)2k+7

Step 1:

Figure out the first term and the second term


\begin{gathered} k=1 \\ 2k+7=2(1)+7=9 \\ k=2 \\ 2k+7=2(2)+7=11 \end{gathered}

Step 2:

Calculate the common difference


\begin{gathered} d=t_2-t_1 \\ d=11-9 \\ d=2 \end{gathered}

Step 3:

Calculate the sum of the arithmetic series using the formula below


\begin{gathered} S_n=(n)/(2)(2a+(n-1)d) \\ where, \\ n=18 \\ a=9 \\ d=2 \end{gathered}

By substituting the values, we will have


User Victor Ejiogu
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