YunaW769596 YunaW769596
  • 25-10-2022
  • Mathematics
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Find the sum of the arithmetic series given a1 =2, an =35 an n = 12

Find the sum of the arithmetic series given a1 2 an 35 an n 12 class=

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RyzenY651714 RyzenY651714
  • 25-10-2022

Given:

[tex]a_1=2,a_n=35,n=12[/tex]

Required:

Find the sum of the arithmetic series.

Explanation:

The sum of the arithmetic series when the first and the last term is given by the formula.

[tex]S_n=\frac{n}{2}(a_1+a_n)[/tex]

Substitute the given values in the formula.

[tex]\begin{gathered} S_n=\frac{12}{2}(2+35) \\ =6(37) \\ =222 \end{gathered}[/tex]

Final Answer:

Option D is the correct answer.

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