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Converges/Diverges Problem
- Thread starter thatguy47
- Start date
Rewrite it as:
\(\displaystyle \frac{1}{3}\cdot a_{n}\)
\(\displaystyle \frac{1}{3}\cdot \frac{2^{n}}{3^{n}}\)
\(\displaystyle \frac{1}{3}\cdot (\frac{2}{3})^{n}\)
Now, can you see what it does?. See the limit?.
List out some terms if it helps. If the even numbered terms and the odd numbered terms both converge to a limit than so does the sequence.
\(\displaystyle \frac{1}{3}\cdot a_{n}\)
\(\displaystyle \frac{1}{3}\cdot \frac{2^{n}}{3^{n}}\)
\(\displaystyle \frac{1}{3}\cdot (\frac{2}{3})^{n}\)
Now, can you see what it does?. See the limit?.
List out some terms if it helps. If the even numbered terms and the odd numbered terms both converge to a limit than so does the sequence.