The geometric sequence formulas are used further to deduce compound interest formulas. The sequence formulas are used to find the n th term (or) sum of the first n terms of an arithmetic or geometric sequence easily without the need to calculate all the terms till the n th term. What Are the Applications of Sequence Formulas? In the same way, n th term = a + (n - 1) d. If we observe the pattern here, the first term is a = a + (1 - 1) d, the second term is a + d = a + (2 - 1) d, third term is a + 2d = a + (3 - 1) d. i.e., it is of the form a, a + d, a + 2d. In an arithmetric sequence, the difference between every two consecutive terms is constant. How To Derive n th Term of an Arithmetic Sequence Formula? The sequence formulas related to the geometric sequence a, ar, ar 2. The sequence formulas related to the arithmetic sequence a, a + d, a + 2d. ![]() ![]() They mainly talk about arithmetic and geometric sequences. The sequence formulas are about finding the n th term and the sum of 'n' terms of a sequence.
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