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Question:
What is the next term of an A.P. √7,√28,√63,........
Answer:

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 

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