Here the given arithmetic sequence is 4, 8, 12, 16, 20, …….įrom this sequence, the first term is a 1 = 4. Therefore the given series is an arithmetic sequence. Here the common difference between each term is constant that is Find the 18th Term of the Given Sequence: 4, 8, 12, 16, 20, …….Īns: First check whether the given series is an arithmetic sequence and then proceed to find the required answer. Where S n is the sum of n terms of an arithmetic sequence.Ī n is the nth term of an arithmetic sequence.Įxercise Problems on Arithmetic Sequence Formulaġ. The arithmetic sequence formula to find the sum of n terms is given as follows: But when we are dealing with a bigger arithmetic sequence where the number of terms is more, then we will use the arithmetic formula to find the sum of n terms. In general, the nth term of an arithmetic sequence is given as follows:Īrithmetic Formula to Find the Sum of n TermsĪn arithmetic series is the sum of the members of a finite arithmetic progression.įor example the sum of the arithmetic sequence 2, 5, 8, 11, 14 will be 2 + 5 + 8 + 11 + 14 = 40įinding the sum of an arithmetic sequence is easy when the number of terms is less. N is the number of terms in the arithmetic sequence.ĭ is the common difference between each term in the arithmetic sequence. Where a n is the nth term of an arithmetic sequence.Ī 1 is the first term of the arithmetic sequence. Then the nth term a n is given by the arithmetic sequence formula as follows: If the arithmetic sequence is a 1, a 2, a 3, ……….a n, whose common difference is d. The arithmetic formula to find the nth term of the sequence is as follows: Similarly, the sequence 3, 7, 10, 14, 17, 25, 28 is not an arithmetic sequence because the common difference between each is not a constant. is an arithmetic sequence because the common difference between each term is 5. A series is the sum of the terms in a sequence.įor example, the sequence 2, 7, 12, 17, 22, 27. The nth term of an arithmetic sequence is calculated using the arithmetic sequence formula. In other words, an arithmetic progression or series is one in which each term is formed or generated by adding or subtracting a common number from the term or value before it. The difference between each succeeding term in an arithmetic series is always the same.
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