Question

2. For what value of x are 2x +1,13, 5x - 3 are three consecutive term of an A.P?
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Answer 1

Step-by-step explanation:

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Answer 2

ANSWER:

• Value of x should be equal to 4 then the given terms are in A.P

GIVEN:

• 2x+1 ; 13 and 5x-3 are three consecutive term of an A.P

TO FIND:

• Value of'x'.

SOLUTION:

We know that in AP the common difference between the two consecutive terms are same.

So here :

=> 13-(2x+1) = common difference (d)

=> 13-2x-1 = common difference (d)

= 12-2x = d. ....(i)

Now;

=> 5x-3-13 = d

=> 5x-16 = d. ....(ii)

Equating (i) and (ii) we get;

=> 5x-16 = 12-2x

=> 5x+2x = 16+12

=> 7x = 28

=> x = 28/7

=> x = 4

• Value of x should be equal to 4 then the given terms are in A.P