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# Coefficient

In mathematics, a coefficient is a constant multiplicative factor of a certain object. For example, the coefficient in 9x2 is 9. A coefficient can also be a variable such as $a$, $b$ and $c$.[1][2]

The object can be such things as a variable, a vector, a function, etc. In some cases, the objects and the coefficients are indexed similarly, leading to expressions such as:

$a_1 x_1 + a_2 x_2 + a_3 x_3 + \cdots$

where an is the coefficient of the variable xn for each n = 1, 2, 3, …[3]

## References

1. "Compendium of Mathematical Symbols" (in en-US). 2020-03-01.
2. Weisstein, Eric W.. "Coefficient" (in en).