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arithmetic sequence

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A recursive formula can produce arithmetic, geometric or other sequences.

For example, for n = 1, 2, 3, ...:

u0 = 2, un = un-1 + 5 is an arithmetic sequence.

u0 = 2, un = un-1 * 5 is a geometric sequence.

u0 = 0, un = un-1 + n is the sequence of triangular numbers.

u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares.

u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.

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โˆ™ 2011-12-26 16:05:08
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Can a recursive formula produce an arithmetic or geometric sequence?
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