Sometimes instead of using different variables for different values, an index is used with the same variable. To distinguish between values, the index is written as a subscript to the term.


For example, indices can be used to specify multiple solutions of an equation, x1x_1 and x2.x_2. Another case is a sequence with unknown terms, which is often written as a1, a2, a3,,an. a_1, \ a_2, \ a_3, \ldots, \, a_n. One could write these as aa, bb, c,c, etc .. but since a infinite amount of letters exist, writing them with an index can be a good option.

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