**Q: **Is sequence an enumerated collection of objects in which repetitions are allowed? ¶

**A: **Yes.

**Q: **Is sequence important in the study of sequences in metric spaces? ¶

**A: **Yes, and and, in particular, in real analysis.

**Q: **Is sequence a means of computing homology groups by taking successive approximations? ¶

**A: **Yes.

**Q: **Is sequence denoted by this symbol with n as subscript? ¶

**A: **Yes, for example, the nth element of the Fibonacci sequence is generally denoted Fn.

**Q: **Is sequence related naturally to a sequence of integers whose pattern can be easily inferred? ¶

**A: **Yes.

**Q: **Is sequence convergence? ¶

**A: **Yes.

**Q: **Is sequence sometimes called multiplicative? ¶

**A: **Yes, if anm = an am for all pairs n, m such that n and m are coprime.

**Q: **Is sequence said to be bounded from above? ¶

**A: **Yes.

**Q: **Is sequence the sequence of decimal digits of π, i.e? ¶

**A: **Yes, . This sequence does not have any pattern that is easily discernible by eye, unlike the preceding sequence, which is increasing.

**Q: **Are sequences sometimes called strings, words or lists, the different names commonly corresponding to different ways to represent them in computer memory? ¶

**A: **Yes, infinite sequences are called streams.

**Q: **Are sequences the concept of nets? ¶

**A: **Yes.

**Q: **Is sequence said to be monotonically increasing? ¶

**A: **Yes, if each term is greater than or equal to the one before it.

**Q: **Is sequence a sequence whose terms are polynomials? ¶

**A: **Yes.

**Q: **Is sequence convergent if and only if all of its subsequences are convergent? ¶

**A: **Yes.

**Q: **Is sequence bounded and monotonic then it is convergent? ¶

**A: **Yes.

**Q: **Is sequence 0? ¶

**A: **Yes, and 1, 1, 2, 3, 5, 8, 13, 21, and 34.

**Q: **Is sequence a sequence whose terms are integers? ¶

**A: **Yes.

**Q: **Are sequences also of interest in their own right and can be studied as patterns or puzzles? ¶

**A: **Yes, such as in the study of prime numbers.

**Q: **Is sequence a sequence formed from the given sequence by deleting some of the elements without disturbing the relative positions of the remaining elements? ¶

**A: **Yes.

**Q: **Is sequence called strictly monotonically increasing? ¶

**A: **Yes.

**Q: **Is sequence both bounded from above and bounded from below? ¶

**A: **Yes, and then the sequence is said to be bounded.

**Q: **Is sequence monotonically decreasing? ¶

**A: **Yes, if each consecutive term is less than or equal to the previous one, and strictly monotonically decreasing, if each is strictly less than the previous.

**Q: **Are sequences a type of function, they are usually distinguished notationally from functions in that the input is written as a subscript rather than in parentheses, i.e? ¶

**A: **Yes, an rather than f. There are terminological differences as well: the value of a sequence at the input 1 is called the "first element" of the sequence, the value at 2 is called the "second element", etc.

**Q: **Are sequences useful in a number of mathematical disciplines for studying functions? ¶

**A: **Yes, and spaces, and other mathematical structures using the convergence properties of sequences.

**Q: **Is sequence called a singly infinite sequence or a one-sided infinite sequence when disambiguation is necessary? ¶

**A: **Yes.

**Q: **Is sequence bounded from below and any such m is called a lower bound? ¶

**A: **Yes.

**Q: **Is sequence a sequence whose terms become arbitrarily close together as n gets very large? ¶

**A: **Yes.

**Q: **Are sequences called complete metric spaces and are particularly nice for analysis? ¶

**A: **Yes.

**Q: **Are sequences a generalization of exact sequences? ¶

**A: **Yes, and since their introduction by Jean Leray , they have become an important research tool, particularly in homotopy theory.

**Q: **Is sequence either increasing or decreasing it is called a monotone sequence? ¶

**A: **Yes.

**Q: **Are sequences the basis for series? ¶

**A: **Yes, and which are important in differential equations and analysis.

**Q: **Is sequence its rank or index? ¶

**A: **Yes, it is the integer from which the element is the image.

**Q: **Are sequences sometimes called the Cantor space? ¶

**A: **Yes.

**Q: **Is sequence to list the elements? ¶

**A: **Yes.

**Q: **Is sequence a generalization of a sequence? ¶

**A: **Yes.

**Q: **Is sequence an ordinary sequence? ¶

**A: **Yes.

**Q: **Are sequences numerical ones? ¶

**A: **Yes, that is, sequences of real or complex numbers.

**Q: **Is sequence discussed after the examples? ¶

**A: **Yes.

**Q: **Is sequence defined as the number of terms in the sequence? ¶

**A: **Yes.