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
1. Consider the trigonometric function f(t) = (a) What is the amplitude of f(t)? (b) What is the period of f(t)? (c) What are the maximum and minimum values attained by

What is 19% of 26? To ?nd out 19% of 26, multiply 26 through the decimal equivalent of 19% (0.19); 26 × 0.19 = 4.94.

Explain Comparing Fractions with example? If fractions are not equivalent, how do you figure out which one is larger? Comparing fractions involves finding the least common

The Laplace method Laplace method employs all the information by assigning equal probabilities to the possible payoffs for every action and then selecting such alternative whic

Find the sum of all natural numbers amongst first one thousand numbers which are neither divisible 2 or by 5 Ans:    Sum of all natural numbers in first 1000 integers which ar

show that, sin 90 degree = 2 cos 45 degree sin 45 degree

A circular pool is filling along with water. Supposing the water level will be 4 ft deep and the diameter is 20 ft, what is the volume of the water required to fill the pool? (π =

It's now time to do solving systems of differential equations. We've noticed that solutions to the system, x?' = A x? It will be the form of, x? = ?h e l t Here l and

1. Build an equation for a hyperboloid of two sheets with the following properties: a. The central axis of the hyperboloid is the y-axis b. The two sheets are 4 units apart, an

Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t