Question

X+2,x+4,x+9 terms are possible in AP give reason

Answer 1

no, these terms do not form an AP

because the common difference is not the same

x+4-(x+2)= x+4-x-2 = 2

here the difference= 2

x+9-(x+4) = x+9-x-4 = 5

here the common difference is 5

so it is not an ap

hope it will help you......

Answer 2

No.

x+2 , x+4 , x+9 is not in AP because

Here 'x' is a constant variable and the addition to 'x' is not with same common difference.

We know that :

Common Difference (d) = a2 - a1 = a3 - a2

where, a1 = x+2 and. a2 = x+4 ; a3 = x+9

now, (d) ➡ (x+4) - (x+2) = (x+9) - (x+4)

(d) ➡ x+4-x-2 = x+9-x-4

(d) ➡ 2 = 5. (this equation is wrong )

So terms are not possible in AP.☺