The formula for computing the nth term of the sequence is given below: We have to find the 48th term of the sequence. Hence, the sum of the sequence upto the 50th term is 6300.įind the 48th term of the following arithmetic sequence and also calculate the sum of the first 48 terms of the sequence. Substitute $n = 50$, $a_n = 224 $, and $a_1 = 28$ in the above formula to get the sum: We will use the following formula to calculate the sum: Now, the next step is to calculate the sum of the first 50 terms in the series. Hence, the 50nd term of the sequence is 224. Substitute $a _ 1 = 28$ and n = 50 in the above formula to get the 50th term. Note that this common difference is positive, hence we can say that the sequence is increasing. Hence, it is a common difference of the sequence. We have to find the 50th term of the sequence. Hence, the sum of the sequence upto the 82nd term is 18409.įind the 50th term of the following arithmetic sequence and also calculate the sum of the first 50 terms of the sequence. Substitute $n = 82$, $a_n = 346$, and $a_1 = 103$ in the above formula to get the sum: Now, the next step is to calculate the sum of the first 82 terms in the series. Hence, the 82nd term of the sequence is 346. Substitute $a _ 1 = 103$ and n = 82 in the above formula to get the 82nd term. Since it is positive, hence we can say that the sequence is increasing. Let suppose we take the first and second, and second and third terms: 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. $n$ is equal to the number of terms in the series $a_n$ represents the nth term of the sequence 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
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