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
If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5. What is the value of x? The statement, "If 0.3 is added to 0.2 times the quantity x - 3, the result is 2.5,

assignment of mathematics in b.sc. 1sem

the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is

Write following in terms of simpler logarithms.  (a) log 3 (9 x 4    / √y) Solution log 3 (9 x 4 / √y) =log ­ 3 9x 4 -  log  y (1/2) =log ­ 3 9 + log ­ 3 x 4

how many words can be formed from letters of word daughter such that word contain 2vowles and 3consonant

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

1. A drainage system overflows into a river causing pollution when the rainfall falling in an hour exceeds 50 mm. During any given year, the maximum hourly rainfall follows an expo


Fourier series - Partial Differential Equations One more application of series arises in the study of Partial Differential Equations.  One of the more generally employed method

Sketch the graph of the below function. f ( x ) = - x 5 + (5/2 )x 4 + (40/3) x 3 + 5 Solution : Whenever we sketch a graph it's good to have a few points on the graph to