how is a sequence arithmetic or geometric
The sequence is a set of ordered numbers. The number of elements in the sequence can either be finite or infinite. More about Arithmetic Sequence (Arithmetric Progression). An arithmetic sequence is defined as a sequence of numbers with a constant difference between each consecutive term. It is also known as arithmetic progression. Arithmetic Sequnece â a1, a2, a3, a4, â¦, an; where a2 = a1 + d, a3 = a2 + d, and so on.
The sum of the terms of the geometric sequence is known as a geometric series; Sn = ar+ ar2 + ar3 + â¯ + arn = âi=1ân ari. The sum of the geometric series can be calculated using the following formula. Sn = a(1-rn)/(1-r); where a is the initial term and r is the ratio. If the ratio, r â¤ 1, the series converges.