Q6 of 202 Page 9

Find the value of x for which (8x+4), (6x-2), (2x+7) are in A.P.

We know that, if three numbers are a,b,c are in AP then, 2b = a + c

According to question, (8x+4), (6x-2), (2x+7) are in AP.

Hence,

2 (6x – 2) = 8x + 4 + 2x + 7

12x – 4 = 10x + 11

2x = 15

x = 15/2 = 7.5

The angles of a quadrilateral are in A.P. whose common difference is 10°. Find the angles.

The sum of three numbers in A.P. is 12 and the sum of their cube is 288. Find the numbers.

If x+1, 3x and 4x+2 are in A.P, find the value of x.

Show that (a–b)², (a²+b²) and (a + b)² are in A.P.