Subsequence/Examples/Example 4

Examples of Subsequences

Let $\sequence {n_r}$ be defined such that $n_r = 2^r$.

Then:

$\sequence {x_{n_r} } = \sequence {x_{2^r} } = x_2, x_4, x_8, x_{16}, \ldots$

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 5$: Subsequences: $\S 5.1$: Subsequences