Check whether the following form an AP -3 - -12 - -27 - -48 - -

The correct option is A TrueWe can write the given series as √( 3 ),2√( 3 ),3√( 3 ),4√( 3 ) Compare the given series with a_1,a_2,a_3...... we get ...

123

You visited us 123 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

nth Term of an AP

Check whether...

Question

Check whether the following form an AP $\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}$ , ...

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
We can write the given series as
$\sqrt{3}, 2 \sqrt{3}, 3 \sqrt{3}, 4 \sqrt{3}$
Compare the given series with $a_{1}, a_{2}, a_{3} . . . . . .$
we get
$a_{2} - a_{1} = 2 \sqrt{3} - \sqrt{3} = \sqrt{3}$
$a_{3} - a_{2} = 3 \sqrt{3} - 2 \sqrt{3} = \sqrt{3}$
and so on.
Since common difference is same and equal to $\sqrt{3}$ , therefore given series is AP.

Suggest Corrections

Similar questions

Q. Question 1 (vii)
Which of the following form an AP? Justify your answer.

\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48} \dots

Q. Question 1 (vii)
Which of the following form an AP? Justify your answer.

\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48} \dots

Q. Check if the sequence is an AP

1, 3, 9, 27, . . . .

Q. Check whether the following list of numbers is an AP. If yes, find its common difference:

10, 10 + 2^{5}, 10 + 2^{6}, 10 + 2^{7}, . . . .

Q. Check whether the following form an AP?

11, 22, 33,.....

Justify your answer, If AP then enter

1

and if not then enter

0

Join BYJU'S Learning Program

Check whether the following form an AP√3,√12,√27,√48 , ...

The correct option is A TrueWe can write the given series as√3,2√3,3√3,4√3Compare the given series with a1,a2,a3......we geta2−a1=2√3−√3=√3a3−a2=3√3−2√3=√3and so on.Since common difference is same and equal to √3, therefore given series is AP.

Check whether the following form an AP $\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}$ , ...