Question

next term of ap √7 √28 √63 is

Answer 1

>> Given AP is: √7, √28, √63,.......

= √7, 2√7, 3√7,......

>> Next term = 4th term = a + 3d
= √7 + 3*√7

(first term a =√7 and common difference d = 2*√7-√7 = √7)

= 4*√7

= √(7*4*4)

= √112

Answer 2

Given:

An Arithmetic Progression with terms √7,√28,√63.

To Find:

The next term of the A.P is?

Solution:

The given problem can be solved using the concepts of A.P

1. The given A.P is √7,√28,√63.

2. The first term is,

=> a = √7.

3. The second term in the A.P is,

=> T2 = a + d = √7 + d = √(28),

=> a + d = √7 + d = √(7x4),

=> d = 2√(7) - √7, (√(a²) = √a ).

=> d = √7.

4. The fourth term in the A.P is calculated as,

=> T4 = a + 3d = √7 + 3(√7),

=> T4 = √7 +3(√7),

=> T4 = 4(√7).

Therefore, the next term of the A.P is 4(√7).