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Question: The sequence\(\frac { 5 } { \sqrt { 7 } }\), \(\frac { 6 } { \sqrt { 7 } }\), \(\sqrt { 7 }\), ........

The sequence57\frac { 5 } { \sqrt { 7 } }, 67\frac { 6 } { \sqrt { 7 } }, 7\sqrt { 7 }, ....... is.

A

H.P.

B

G.P.

C

A.P.

D

None of these

Answer

A.P.

Explanation

Solution

Common difference is d=67−57=17=7−67d = \frac { 6 } { \sqrt { 7 } } - \frac { 5 } { \sqrt { 7 } } = \frac { 1 } { \sqrt { 7 } } = \sqrt { 7 } - \frac { 6 } { \sqrt { 7 } } .

Hence given sequence is A.P.