Question

In the A.P. 2,-2,-6,-10....common difference is :​

Answer 1

Answer:

Step-by-step explanation:

a=t1=2

t2=-2

t3=-6

t4=-10

Therefore

d=t2-t1

=-2-2

=(-4)

Answer 2

Given,

An arithmetic Progression 2, -2, -6, -10.

To find,

The common difference of the given Arithmetic expression.

Solution,

Arithmetic Progression is defined as terms that follow a proper sequence and have a common difference between their terms.

If the terms a1, a2, a3, a4 are in Arithmetic Progression then the common difference (d) is calculated as a2-a1, a3-a3, a4-a3.

Similarly, the common difference in terms 2, -2, -6, -10. would be calculated as-

⇒   -2 - (2) = -4

⇒   -6 - (-2) = -6 + 2 = -4.

Hence, We can see that the common difference in the  AP 2, -2, -6, -10, is  -4.