Math, asked by dhruvisingh405, 3 months ago

find the common difference of the ap under root 6 root 24 root 54 , ...​

Answers

Answered by satishpatilsp546
3

D=a2-a1

=2√6-√6 (√24=2√6)

=√6.

Here your answer

Answered by SaurabhJacob
0

The given

Sequence in AP, \sqrt{6}, \sqrt{24}, \sqrt{54}

To find

Common difference between consecutive terms in the sequence.

Solution

Let's start simplifying each term first:

  • \sqrt{6} = \sqrt{2X3} =\sqrt{2} X\sqrt{3}
  • \sqrt{24} = \sqrt{6} X\sqrt{4} =\sqrt{2} X\sqrt{3} X2
  • \sqrt{54} = \sqrt{6} X\sqrt{9} =\sqrt{2} X\sqrt{3} X3

To find the difference between consecutive terms (AP), we subtract the previous term from the next term:

  • \sqrt{4} X \sqrt{6} -\sqrt{2} X\sqrt{3} = 2 X \sqrt{6} -\sqrt{6} =\sqrt{6}
  • \sqrt{9} X\sqrt{6} -\sqrt{4} X\sqrt{6} =\sqrt{6}

Therefore, the common difference of the AP sequence is sqrt(6).

#SPJ3

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