Question

2x+1,4x-1,5x+1 are the three consecutive terms of an arithmetic sequence
a)what is value of x?
b)write the terms ​

Answer 1

Answer:

a) x = 4

b) The terms are 9, 15 and 21.

Step-by-step explanation:

2x+1, 4x-1, and 5x+1 are the three consecutive terms of an arithmetic sequence.

Therefore, (4x-1) - (2x+1) = (5x+1) - (4x-1)

=>2x - 2 = x + 2

∴ x = 4

The terms are: 2x+1 = 2*4+1 =9

4x - 1 = 4*4 - 1 = 15

and 5x+1 = 5*4+1 = 21