$\sqrt{8}, \sqrt{18}, \sqrt{32}$ are in AP. Find the next term and common difference.

\sqrt{50}, \sqrt{2}

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\sqrt{55}, 2

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\sqrt{48}, \sqrt{2}

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None

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Solution

The correct option is A $\sqrt{50}, \sqrt{2}$
$c . d . = \sqrt{18} - \sqrt{8} = 3 \sqrt{2} - 2 \sqrt{2} = \sqrt{2} ∴ n e x t t e r m = \sqrt{32} + \sqrt{2} = 4 \sqrt{2} + \sqrt{2} = 5 \sqrt{2} = \sqrt{50}$

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Similar questions

Q. Find first term 'a' and common difference 'd' for the following AP.

\sqrt{2}

\sqrt{8}

\sqrt{18}

\sqrt{32}

,.....

Show that each of the progressions given below is an AP. Find the first term, common difference and next term of each.
(i) 9,15,21,27,.....
(ii) 11,6,1,-4,....
(iii) $- 1, \frac{- 5}{6}, \frac{- 2}{3}, \frac{- 1}{2},$ ...
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Question 4 (xii)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xii) $\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32} \dots \dots$

Q. Find the next term of

A P \sqrt{2}, \sqrt{8}, \sqrt{18}

Q. The first term of an AP is

- 50

and the

50 t h

term is

48

. Find the common difference

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√8,√18,√32 are in AP. Find the next term and common difference.

The correct option is A √50,√2c.d.=√18−√8=3√2−2√2=√2∴nextterm=√32+√2=4√2+√2=5√2=√50

$\sqrt{8}, \sqrt{18}, \sqrt{32}$ are in AP. Find the next term and common difference.

The correct option is A $\sqrt{50}, \sqrt{2}$
$c . d . = \sqrt{18} - \sqrt{8} = 3 \sqrt{2} - 2 \sqrt{2} = \sqrt{2} ∴ n e x t t e r m = \sqrt{32} + \sqrt{2} = 4 \sqrt{2} + \sqrt{2} = 5 \sqrt{2} = \sqrt{50}$