So, the sequences let you avoid building results of intermediate steps, therefore improving the performance of the whole collection processing chain. In turn, Iterable completes each step for the whole collection and then proceeds to the next step. The order of operations execution is different as well: Sequence performs all the processing steps one-by-one for every single element. In turn, multi-step processing of sequences is executed lazily when possible: actual computing happens only when the result of the whole processing chain is requested. The following step executes on this collection. When the processing of an Iterable includes multiple steps, they are executed eagerly: each processing step completes and returns its result – an intermediate collection. Sequences offer the same functions as Iterable but implement another approach to multi-step collection processing. Unlike collections, sequences don't contain elements, they produce them while iterating. The difference between the consecutive terms is a constant 3, therefore the sequence is an arithmetic sequence.Along with collections, the Kotlin standard library contains another type – sequences ( Sequence). In the above example, the reciprocal of the terms would give us the following arithmetic sequence, therefore we can say that the list is arranged in a harmonic sequence. This constant is also known as common ratio. You can see that in the above example, each successive term is obtained by multiplying the previous term by a fixed constant 2. A geometric sequence is also known as geometric progression. The number which is multiplied or divided by the previous term to get the next term is known as a common ratio and is denoted by r. ![]() In a geometric sequence, each term is obtained by multiplying or dividing the previous term with a particular number. Use the following formula to compute the sum of arithmetic sequence: Now, let us see what are some of the formulae related to the arithmetic sequence.įormula for Finding the Sum of the Arithmetic Sequence In the above sequence, the difference between the successor and predecessor is -4. Since this constant is positive, so we can say that the arithmetic sequence is increasing. This constant 3 is known as common difference (d). You can see in the above example that each next term is obtained by adding a fixed number 3 to the previous term.
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