Maths / Arithmetic Progression / General Term Of an AP

QUESTION
 

Find the value of x if

large 2x+1, x^2+x+1 ;and; 3x^2-3x+3 ;are; in; AP

OPTIONS
A. 

1

B. 

2

C. 

Both A and B

D. 

3

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

large 2x+1, x^2+x+1 ;and; 3x^2-3x+3 ;are; in; AP

large d_1 = x^2+x+1 - (2x+1)

large d_1 = x^2+x+1 - 2x-1=x^2-x

large d_2 = 3x^2-3x+3 - (x^2 +x+1)

large d_2 = 3x^2-3x+3 - x^2 -x-1= 2x^2-4x+2

As the three terms are in AP

large d_1 =d_2

large x^2-x =2x^2-4x+2

large x^2-x -2x^2+4x-2=0

large -x^2+3x-2=0

large x^2-3x+2=0

large x^2-2x-x+2=0

large x(x-2)-1(x-2)=0

large (x-1)(x-2)=0

So either x = 1or x =2

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