Question

root 2,root 8,root 18 ,root 32, . . .is it an AP??

Answer 1

yes, it an Ap

Step-by-step explanation:

root 2 = root 2

root 8 = root 4×2= 2root2

root 18 = root 9×2= 3root2

root 32 = root 16×2= 4root2

Therefore,

common difference (d) = a2 - a1

= 2 root 2 - root 2

= root2

d = a3 - a2.

= 3root2 - 2root2

= root2

d= a4 - a3

= 4root2 - 3root2

= root2

therefore the common difference is same

so, it is an ap