Problem

Write the first four terms of the sequence $\left\{a_{n}\right\}_{n=1}^{\infty}$. \[ a_{n}=\frac{(-1)^{n}}{6^{n}} \] \[ a_{1}=\square(\text { Simplify your answer. }) \]

Solution

Step 1 :Substitute \(n=1\) into the formula for \(a_n\).

Step 2 :Calculate \(a_n = \frac{(-1)^{1}}{6^{1}}\).

Step 3 :Simplify to get \(a_1 = -\frac{1}{6}\).

Step 4 :\(\boxed{-\frac{1}{6}}\) is the first term of the sequence.

From Solvely APP
Source: https://solvelyapp.com/problems/18044/

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