Question

Q.6. The value of x for which 2x, (x + 10) and (3x + 2) are the three conservative terms of an AP is:
a) 6
b) -6
c) 18
d) -18
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Answer 1

Answer:

Three consecutive terms are in A P

Therefore difference is same

x +10 - 2x =3x + 2 - x- 10

- x +10 = 2x -8

3x = 18

X = 6

So the terms are

12, 16 and 20

Please mark my answer as Brainliest.

Answer 2

Answer:

a) 6

Step-by-step explanation:

To make it ap , the the difference between the successive term should be common ( same).

Thus,

( x+10) - (2x) = (3x+2) - (x+10)

x+ 10-2x = 3x +2-x-10

- x +10 = 2x -8

10+8 = 2x + x

18 = 3x

18/3 = x

6 = x