Question

pls show working and pls answer quickly

if x+1, 2x-1 and x+5 are in AP find the value of x

Answer 1

Answer:

I don't know what is the third term but let me guide you on how to solve this. I'd have given the answer myself but the value of third term is not clear to me.

If I assume that your third term is (X + 5) then your equation would be

(2x-1) - (x-1) = (x+5) - (2x-1)

2x - 1 - x + 1 = x +5 - 2x +1

x = 6-x

2x = 6

x = 3

Read more on Brainly.in - https://brainly.in/question/14776833#readmore

Answer 2

Answer:

4

Step-by-step explanation:

If they are in an AP (a1, a2, a3)

a1 = a           = x + 1

a2 = a + d    = 2x - 1

a3 = a+ 2d   = x + 5

(a + d) - a

= a + d - a

= d

(a + 2d) - (a + d)

= a + 2d - a - d

= d

=> a3 - a2 = a2 - a1

=> (x + 5) - (2x - 1) = (2x - 1) - (x + 1)

=> x + 5 - 2x +1 = 2x - 1 - x - 1

=> 6 - x = x - 2

=> 2x = 8

=> x = 4

Therefore, the value of x is 4