Question

The missing term of an AP : -4, __ , 0 , 2 . * 1 point -8 -6 -4 -2

Answer 1

Answer:

The missing number is (-2)

Step-by-step explanation:

Let the missing term be x

Now,

a1 = -4

a2 = x

a3 = 0

a4 = 2

We know that,

The common difference in an AP is equal between 2 consecutive terms

So,

a4 - a3 = a3 - a2 = a2 - a1

2 - 0 = 0 - x = x - (-4)

We get,

2 - 0 = 0 - x

2 = -x

so,

x = -2

also,

0 - x = x + 4

-x - x = 4

-2x = 4

x = -2

Thus, the missing number is -2

Hope it helped and you understood it........All the best