Question

Find the common difference of an A.P : √3, √27, √75, … … …​

Answer 1

Answer:

2root3

Step-by-step explanation:

Root27=3root3

Common differnce= 3root3-root3= 2root3

Answer 2

Answer  :-

→ Common difference of an AP is known as the difference between any two consecutive terms of that AP.

• first term of AP = a₁ = √3
• second term of AP = a₂ = √27 = 3√3

→  common difference of AP = d = a₂ - a₁

→       d  = 3√3 - √3

→      d = 2√3

Hence, the common difference of the given AP is 2√3 .

_______________________

Let us check our answer

If 2√3 is the common difference of the given AP then

on adding 2√3 to the second term we will get get the third term so,

3√3 + 2√3 = 5√3 = √5×√5×√3 =√75

so, we got the third term

therefore, our answer is verified.