Find the value of x of an arithmetic progressions, Mathematics

Find the value of x if 2x + 1, x2 + x +1, 3x2 - 3x +3 are consecutive terms of an AP.

Ans:  a2 -a1 =  a3 -a2

⇒  x2 + x + 1-2x - 1 = 3x2 - 3x + 3- x2-x-1

x2 - x = 2x2 - 4x + 2

⇒  x2 - 3x + 2 = 0

⇒  (x -1) (x - 2) = 0

⇒  x = 1 or x = 2

 

Posted Date: 4/8/2013 5:24:19 AM | Location : United States







Related Discussions:- Find the value of x of an arithmetic progressions, Assignment Help, Ask Question on Find the value of x of an arithmetic progressions, Get Answer, Expert's Help, Find the value of x of an arithmetic progressions Discussions

Write discussion on Find the value of x of an arithmetic progressions
Your posts are moderated
Related Questions
Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual


Standardizing Normal Variables Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding valu

Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials.  Here are some examples of rational e

Factoring quadratics of the form x 2 + bx + c ? This tutorial will help you factor quadratics that look something like this: x 2 + 7x + 12 (Positive coefficients; no lea

find the sum of the following series upto n terms: 1*2+2*4+3*8+4*16+.....


Danny is a contestant on a TV game show. If he gets a question right, the points for that question are added to his score. If he gets a question wrong, the points for that question

If we "break up" the root into the total of two pieces clearly we get different answers. Simplified radical form: We will simplify radicals shortly so we have to next