<h2>Summary</h2>
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\(T_n\) is the general term of a sequence.
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Successive or consecutive terms are terms that follow one after another in a sequence.
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<li>
A linear sequence has a common difference (\(d\)) between any two successive terms.
\[d = T_n - T_{n-1}\]
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A quadratic sequence has a common second difference between any two successive terms.
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<li>
The general term for a quadratic sequence is \[T_n = an^2 + bn + c\]
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A general quadratic sequence:
<img alt="63c2b9c313657cfbc122f49783267137.png" src="https://data.ulearngo.com/assets/d083e2db-479f-4c54-ba0f-1ae3d559908f"/></li>
</ul>
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77e14597-4d58-4399-be3f-b1bb5c28bc54

Summary and Main Ideas

Mathematics studies measurement, relationships, and properties of quantities and sets, using numbers and symbols. Arithmetic, algebra, geometry, and calculus are popular topics in mathematics.

Mathematics

Discover how to identify number patterns, describe sequences, calculate common differences, solve quadratic sequences, use sigma notation, and understand finite and infinite arithmetic and geometric series in this tutorial.


Summary and Main Ideas

Summary

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