Question

find value of x if 2,x,10 are in AP​

Answer 1

Answer:

x =6

Step-by-step explanation:

Here,

a(1st term) =2,

2nd term (t2) =x,

3rd term (t3) =10.

.

we know that

t3 = t1 + 2d

10 = 2 + 2d

10 - 2 = 2d

8 = 2d

i.e. 2d = 8

d = 8/2

d = 4.

.

Now, t2 = t1 + d

x = 2 + 4

x = 6

Therefore, x is 6.

.

hope it helps

Answer 2

Given:

AP: 2,x,10

To Find:

Find value of x

Solution:

Here, we have

a(1st term) =2,

2nd term (t2) =x,

3rd term (t3) =10.

We know that

t3 = t1 + 2d

10 = 2 + 2d

10 - 2 = 2d

8 = 2d

i.e. 2d = 8

d = 8/2

d = 4.

Now, t2 = t1 + d

x = 2 + 4

x = 6

Hence, the value of x is 6.