Question

Find the common difference of terms AP (x-y),(x+y),(x+3y),........

Answer 1

Answer:

Step-by-step explanation:

common difference d = (x+y) - (x-y) and (x+3y) - (x+y) = 2y

Answer 2

Given,

A.P. = (x-y), (x+y), (x+3y), ---

To find,

The common difference for the given A.P.

Solution,

The common difference of the terms in A.P. (x-y), (x+y), (x+3y), --- will be 3y.

We can easily solve this problem by following the given steps.

We know that the difference between a term and its preceding term in an A.P. always remains the same. So, the common difference (denoted by d) can be easily found by subtracting the first term from the second term.

According to the question,

A.P. = (x-y), (x+y), (x+3y), ---

The first term (a1) = (x-y)

The second term (a2) = (x+y)

Common difference(d) = a2 - a1

d = (x+y) - (x-y)

d = x+y-x+y ( Multiplying '-' into the bracket)

d = 2y ( x has been subtracted from x because one is positive and one is negative.)

Hence, the common difference of the terms in A.P. (x-y), (x+y), (x+3y), --- is 3y.