Question

Find the value of x if the terms 3x-1, 15, 3x +1, are in A.P.
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Answer 1

Answer:

It is given to us that the terms form an AP.

In an AP, the difference between the terms remains the same.

Therefore,

15-(3x-1)=3x+1-15

-3x+16=3x-14

6x=30

x=5

Learn more....

What is an AP??

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Answer 2

The required value of x = 5

Given :

3x - 1, 15, 3x + 1 are in A.P.

To find :

The value of x

Solution :

Step 1 of 2 :

Form the equation

Here it is given that 3x - 1, 15, 3x + 1 are in A.P.

By the given condition

$\displaystyle \sf{ (3x - 1) + (3x + 1) = (2 \times 15)}$

Step 2 of 2 :

Find the value of x

$\displaystyle \sf{ (3x - 1) + (3x + 1) = (2 \times 15)}$

$\displaystyle \sf{ \implies 6x = 30 }$

$\displaystyle \sf{ \implies x = 5 }$

Hence the required value of x = 5