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  1. What other sequences are there? Linear and quadratic sequences are particular types of sequence covered their own notes; Other sequences include geometric and Fibonacci sequences, which are looked at in more detail below; Other sequences include cube numbers (cubic sequences) and triangular numbers

  2. The double stranded oligos were designed to have the indicated number of base pairs from the end followed by the recognition sequence and an additional 12 bases. In some cases asymmetric cleavage was observed and interpreted as a negative result.

  3. In an arithmetic progression (also called arithmetic sequence ), the difference between consecutive terms in the sequence is constant. This constant difference is known as the common difference, d, of the sequence.

  4. Sequence. A Sequence is a set of things (usually numbers) that are in order. Each number in the sequence is called a term (or sometimes "element" or "member"), read Sequences and Series for more details.

  5. Two common types of mathematical sequences are arithmetic sequences and geometric sequences. An arithmetic sequence has a constant difference between each consecutive pair of terms. This is similar to the linear functions that have the form \(y=m x+b .\) A geometric sequence has a constant ratio between each pair of consecutive terms.

  6. A particularly common and useful sequence is \( \{r^n\}_{n=0}^{\infty}\), for various values of \(r\). Some are quite easy to understand: If \(r=1\) the sequence converges to 1 since every term is 1, and likewise if \(r=0\) the sequence converges to 0. If \(r=-1\) this is the sequence of example 11.1.7 and diverges.

  7. A sequence is a list of objects in a specified order. We will typically work with sequences of real numbers and can also think of a sequence as a function from the positive integers to the set of …