Question

What is the value of x, if x – 1 X + 2, 2x - 1 is an AP.? ​

Answer 1

Answer:

1,x+2,2x-1,... is 6

Step-by-step explanation:

Given that x-1,x+2,2x-1,... is an arithmetic sequence

To find the value of x in the given arithmetic sequence :

First put x=6 in the sequence x-1,x+2,2x-1,... we get

6-1,6+2,2(6)-1,...

5,8,11,...

Now verify that 5,8,11,... is an arithmetic sequence

Let a_1=5a

1

=5 ,a_2=8a

2

=8 ,a_3=11a

3

=11 ,...

To find the common difference d

d=a_2-a_1d=a

2

−a

1

SUbstituting the values we get

d=8-5

Therefore d=3

d=a_3-a_2d=a

3

−a

2

Substituting the values we get

d=11-8

Therefore d=3

Therefore the common difference d is 3

Therefore the sequence 5,8,11,... is an arithmetic sequence

Hence the value of x in the given arithmetic sequence x-1,x+2,2x-1,... is 6

Answer 2

Answer:

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Step-by-step explanation:

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