Question

Find the common difference of the AP 1/2q, 1-2q/2q, 1-4q /2q

Answer 1

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Step-by-step explanation:

Answer 2

Given:

An A.P.- 1/2q, 1-2q/2q, 1-4q /2q

To find:

The common difference of the A.P.

Solution:

The common difference of the A.P. is -1.

We can find the difference by taking the steps given below-

We know that the common difference of an A.P. is the difference of any two consecutive terms.

Let the common difference be d.

Now to calculate this difference, we need to subtract any two consecutive terms.

The first term of the A.P.=1/2q

The second term of the A.P.=1-2q/2q

Common difference of the A.P.= Second term- first term

On putting the values, we get

d=(1-2q)/2q-1/2q

d=(1-2q-1)/2q

d=(-2q)/2q

d= -1

Therefore, the common difference of the A.P. is -1.