Math, asked by bhagatprashant9999, 1 month ago

2x – 5, 3x + 1 and 5x are terms of AP. Find x.​

Answers

Answered by dwivedin969
0

Answer:

2x,x+8,3x+1 are in A.P.

Thus,

(x+8)−2x=(3x+1)−(x+8)

8−x=2x−7

3x=15

x=5

Answered by Tan201
0

Answer:

7

Step-by-step explanation:

Given:-

Arithmetic Progression (AP) =2x-5, 3x+5, 5x

To find:-

x

Solution:-

Common Difference (d)=a_{2}-a

d=3x+1-(2x-5)

d=3x+1-2x+5

d=x+6

d=a_{3}-a_{2}

d=5x-(3x+1)

d=5x-3x-1

d=2x-1

Using Euclid's Theorem (Things which are equal to the same thing, are equal to one another),

x+6=2x-1

2x-x=6+1

x=7

∴ The value of x is 7

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