# How do you find the explicit formula for the following sequence 1, 10, 100, 1000, 10000, . . . ?

${10}^{n - 1}$
${10}^{0} , {10}^{1} , {10}^{2} , {10}^{3} , \ldots \ldots$
So the first term is raised to the power $0$, the second to the power $1$, and so on. Therefore the $n$th term will be ${10}^{n - 1}$