![]() You can find sum of arithmetic sequence worksheets at the end of this page for more practice. The sum of the first \(n\) terms of an arithmetic sequence when the \(n^\] \(\therefore S_n = 440\).We will see how to derive the sum of arithmetic sequence formula.Ĭonsider an arithmetic sequence whose first term is \(a_1\) or \(a\) and the common difference is \(d\). How to Find the Sum of an Arithmetic Sequence?Īn arithmetic progression is a sequence where the differences between every two consecutive terms are the same. We use the same logic to find the sum of the arithmetic sequence formula. Thus, the sum of all terms of this sequence is: We can see that in the sequence \(1,2,3.,100\), there are \(50\) such pairs whose sum is \(101\) Each successive term in a Geometric Progression (GP) is obtained by multiplying the common ratio by the preceding term. Well, he noticed that terms equidistant from the beginning and the end of the series had a constant sum equal to \(101\) and G.P.: An Arithmetic Progression (AP) is a set of terms in which the differences between each term are the same. This boy was the great German mathematician Carl Friedrich Gauss. One boy shouted out the answer \(5050\) while the other students were still in the initial steps of calculating the sum. The students were struggling to calculate the sum of all these numbers. The teacher asked her students to add all the numbers from \(1\) up to \(100\) In Germany, in the 19 th century, a Math class for grade 10 was going on. ![]() You can also find the sum of arithmetic sequence worksheets at the end of this page for more practice. In this mini-lesson, we will explore the sum of an arithmetic sequence formula by solving arithmetic sequence questions.
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