Find the value of x of an arithmetic progressions, Mathematics

Assignment Help:

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

 


Related Discussions:- Find the value of x of an arithmetic progressions

Simplify the boolean function, Simplify the Boolean function: F...

Simplify the Boolean function: F (w,x,y,z) = ∑ (0, 1, 2, 3, 4, 6, 8, 9, 12, 13, 14)  (8)  Ans:   f(w, x, y, z) = ∑(0, 1, 2, 3, 4, 6, 8, 9, 12, 13, 14) The above

Calculus, The law of cosines can only be applied to acute triangles. Is thi...

The law of cosines can only be applied to acute triangles. Is this true or false?

More optimization problems, More Optimization Problems Example   A w...

More Optimization Problems Example   A window is being built in which the bottom is rectangle and the top is a semicircle. If there framing materials is 12 meters what have

Numerical method, The Stefan-Boltzmann law can be employed to estimate the ...

The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface of copper sphere with radius = 0.15 ±0.01 m, as in H=AesT^4 where H is in watt

Circles, Circles In this section we are going to take a rapid look at ...

Circles In this section we are going to take a rapid look at circles.  Though, prior to we do that we have to give a quick formula that expectantly you'll recall seeing at som

Permuation and combination, how many words can be formed from letters of wo...

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

Briefly explain markov chains, Question 1 An experiment succeeds twice as ...

Question 1 An experiment succeeds twice as often as it fails. Find the chance that in the next six trials there will be at least four successes Question 2 An insurance compan

Prove that ad x af=ae x ab, ABCD is a rectangle. Δ ADE and Δ ABF are two tr...

ABCD is a rectangle. Δ ADE and Δ ABF are two triangles such that ∠E=∠F as shown in the figure. Prove that AD x AF=AE x AB. Ans:    Consider Δ ADE and Δ ABF ∠D = ∠B

Standard interpretations to derivatives, Standard interpretations to deriva...

Standard interpretations to derivatives Example   Assume that the amount of money in a bank account is specified by                                       P (t ) = 500 + 10

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd