HeitorW300660 HeitorW300660
  • 25-10-2022
  • Mathematics
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Find the sum of the arithmetic series given a₁ =A. 650B. 325C. 642D. 1266Reset SelectionPrevious Jixt45, an=85, and n = 5.

Find the sum of the arithmetic series given a A 650B 325C 642D 1266Reset SelectionPrevious Jixt45 an85 and n 5 class=

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AnmolX68663 AnmolX68663
  • 25-10-2022

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: write the given details

[tex]a_1=45,a_n=85,n=5[/tex]

STEP 2: Write the formula for calculating the sum of arithmetic series

STEP 3: Find the sum

By substitution,

[tex]\begin{gathered} S_n=5(\frac{45+85}{2}) \\ S_n=5(\frac{130}{2})=5\times65=325 \end{gathered}[/tex]

Hence, the sum of the series is 325

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