A sequence (u,),nzo is defined recursively, with u, and u, given by 2un+2 – Un+1 – Un = 0 Two other sequences vn = Un+1 - Un and wn = 2un+1 + Un are defined Vn EN. a) Show that (vn)nzo is a geometric sequence b) Express vn in terms of n, u, and U1. c) Show that (wn)n20 is a constant sequence. Hence express w, in terms of u, and u..

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.