![]() ![]() Step 1-> declare Function to find sum of seriesĬout<<"sum of series A. Traverse the loop till n and keep adding the first term to a temporary variable with the difference.There are two ways to find the sum of a finite arithmetic sequence. The sum of an infinite arithmetic sequence is either, if d > 0, or -, if d < 0. Another explicit formula for this sequence is an 20050(n1) a n 200 50 ( n 1. An arithmetic sequence can also be defined recursively by the formulas a 1 c, a n+1 a n + d, in which d is again the common difference between consecutive terms, and c is a constant. We do not need to find the vertical intercept to write an explicit formula for an arithmetic sequence. The derivation of this equation can be seen here. Substituting 50 50 for the slope and 250 250 for the vertical intercept, we get the following equation: an 50n+250 a n 50 n + 250. ![]() T n i 0 ( n + 1 2) ( n) ( n + 1) ( n + 2) 6. Formulas for the sum of arithmetic and geometric series: Arithmetic Series: like an arithmetic sequence, an arithmetic series has a constant difference d. The sum of triangular numbers yields the tetrahedral numbers who satisfy the equation.
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