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What is the formula for the sum of an arithmetic series?

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Final answer:

The formula for the sum of an arithmetic series is (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term.

Step-by-step explanation:

The formula for the sum of an arithmetic series is:

S = (n/2)(a + l)

  • S: The sum of the series
  • n: The number of terms in the series
  • a: The first term of the series
  • l: The last term of the series

For example, if you have an arithmetic series with 5 terms, starting from 1 and increasing by 2 each time, the sum would be:

S = (5/2)(1 + 9) = 5 x 10 = 50

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