Question

Find the next term of the AP: √20, √45, √80,.....​

Answer 1

Answer:

Step-by-step explanation:

Given,

A.P - √20, √45, √80, ...

To Find,

Next term

Solution,

At 1st, here we will find the common difference,

Common difference, d = √45 - √20 = 3√5 - 2√5 = √5

Again,

Common difference, d = √80 - √45 = 4√5 - 3√5 = √5

So, here the common difference = √5

Here, we know that Next term = last term + Common difference

⇒ Next term = √80 + √5

⇒ Next term = 4√5 + √5

⇒ Next term = 5√5 or 125

Hence, the next term in the A.P is 125.