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Explain the terms in the formula sn= n/2 2a+(n-1)d

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Final answer:

The formula sn = n/2 [2a + (n-1)d] is used to find the sum of an arithmetic series by substituting the values of n, a, and d.

Step-by-step explanation:

The formula sn = n/2 [2a + (n-1)d] is used to find the sum of an arithmetic series. Here is an explanation of the terms:

  • n: the number of terms in the series
  • a: the first term of the series
  • d: the common difference between consecutive terms

To find the sum of the series, you substitute the values of n, a, and d into the formula. For example, if you have a series with n = 5, a = 1, and d = 2, the formula becomes s5 = 5/2 [2(1) + (5-1)(2)] = 5/2 [2 + 4(2)] = 5/2 [2 + 8] = 5/2(10) = 25.

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