Question

2,a,8 are in ap value of a​

Answer 1

Answer:

Step-by-step explanation:

2

2+3=5

5+3=8

Answer 2

Given:-

2,a,8 are in A.P

To find:-

Value of a

Solution:-

Let the terms of AP be t1,t2,t3

• t1=2
• t2=a
• t3=8

We know if three terms are in AP then their Common differences will be same.

Symbolically

$\boxed{\sf t_2-t_1=t_3-t_1}$

$\\ \sf\longmapsto a-2=8-a$

$\\ \sf\longmapsto a+a=8+2$

$\\ \sf\longmapsto 2a=10$

$\\ \sf\longmapsto a=\dfrac{10}{2}$

$\\ \sf\longmapsto \underline{\boxed{\bf{a=5}}}$