Find the value of x so that 3x – 2, 2x – 1 and 4x – 3 form an arithmetic sequence.
It must be true that
(2x-1) - (3x-2) = (4x-3) - (2x-1)
-x + 1 = 2x - 2
-3x = -3
x = 1
check:
terms would be
1 , 1, 1
strange sequence but it is arithmetic
(2x-1) - (3x-2) = (4x-3) - (2x-1)
-x + 1 = 2x - 2
-3x = -3
x = 1
check:
terms would be
1 , 1, 1
strange sequence but it is arithmetic