![]() Take any two consecutive terms in the sequence and take the difference between the successor and the predecessor. ![]() The formula for computing the nth term of the sequence is given below:įirst, we will find the common difference (d) of the sequence. We have to find the 82nd term of the sequence. In the next section, we will solve a couple of examples in which we will find the nth terms and sums of the arithmetic sequences.įind the 82nd term of the following arithmetic sequence and also calculate the sum of the first 82 terms of the sequence. Is equal to the number of terms in the series The formula for computing the sum of the arithmetic sequence is given below: We can summarize the above information about the arithmetic sequence in this way:Ī list of numbers arranged in such a way that the difference between two successive terms is a constant d is known as an arithmetic sequenceįormula for Finding the Sum of the Arithmetic Series Decreasing: If the common difference is negative, then we say that the sequence is decreasing.Īn arithmetic sequence is also known as arithmetic progression.Increasing: If the common difference is positive, then we say that the sequence is increasing.You just add the common difference to any term in the list to get the next term. The common difference is used to determine the next terms in the series. This number that you obtain after subtracting the previous number from the next number is known as a common difference and is denoted by d. If the numbers are arranged in an arithmetic sequence, and you take any number in the list and subtract its predecessor, the resulting number will always be the same. An arithmetic sequence represents the series of numbers arranged in a specific pattern.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |