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how to derive the formula for the sum of an arithmetic series. Learn more about it here. When the Last Term is Given.
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The first term is a. We can write the sum of the first. So its the sum of all of the integers up to and including n.
When the sequence is reversed and added to itself term by term the resulting sequence has a single repeated value in it equal to the sum of the first and last numbers 2 14 16.
Now lets derive a general formula for the sum of terms of an AGP with initial term aaa common difference dddand common ratio rrr. A 1 a n n 1 d. S n2 a L When the Last Term is Not Given. The terms of an arithmetic progression or Arithmetical Progression of n terms added together will give a sum that can be expressed in terms of the first term.
