An example of a linear sequence. A list of numbers or diagrams that are in a particular order is called a sequence close sequenceA sequence is a set of numbers that follow a certain rule. For example, ...
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Show that the sequence is arithmetic
In this tutorial, we demonstrate how to identify if a sequence is arithmetic. Learn how to calculate the difference between consecutive terms and verify whether the sequence follows a constant pattern ...
Between each pair of terms in this sequence is the amount the sequence is decreasing by. The đť’Źth term refers to a term's position in the sequence, for example, the first term has đť’Ź = 1, the second ...
Consider this sequence of numbers: 5, 7, 9. Can you spot the pattern? Here’s another with the same pattern: 15, 19, 23. One more: 232, 235, 238. “Three equally spaced things,” says Raghu Meka, a ...
Sequences of integers exist with any possible upper density and lower density which do not contain an infinitely long arithmetic progression. Journal Information This monthly journal, begun in 1950, ...
A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...
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