15 - Operations on Sequences

Termwise operations on Sequences

Let $(a_n),(b_n)$ be sequences then new sequences can defined termwise e.g.

$$\begin{array}{r}(a_n+b_n),(-a_n),(a_n{b}_n),(c{a}_n),(|a_n|)\end{array}$$

If $b_n\ne 0$ for all $n$ then we can also define

$$\left(\frac{a_n}{b_n}\right)$$

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