Question

next term of the AP 3√5,4√5,5√5 is​

Answer 1

Answer:

6√5

Step-by-step explanation:

As we can see the common difference is

4√5 - 3√5 = √5

So, to obtain next term we just need to add √5 into the present term.

5√5 + √5 = 6√5

So, next term will be 6√5.

Thank you.

Answer 2

Answer:

6$\sqrt{5}$

Step-by-step explanation:

4$\sqrt{5}$ - 3$\sqrt{5}$ = $\sqrt{5}$(4-3) = $\sqrt{5}$

5$\sqrt{5}$ - 4$\sqrt{5}$ = $\sqrt{5}$(5-4) = $\sqrt{5}$

So the next term will be

5$\sqrt{5}$  + $\sqrt{5}$ = $\sqrt{5}$(5+1) = 6$\sqrt{5}$