Subsequence/Examples/Example 1

Examples of Subsequences

Let $\sequence {n_r}$ be the sequence in $\N$ defined such that $n_r = r + 1$.

Then:

$\sequence {x_{n_r} } = \sequence {x_{r + 1} } = x_2, x_3, x_4, \ldots$

Sources

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