Find first term 'a' and common difference 'd' for the following AP.
$\sqrt{2}$ , $\sqrt{8}$ , $\sqrt{18}$ , $\sqrt{32}$ ,.....

a =

\sqrt{2}

, d =

\sqrt{4}

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a =

\sqrt{2}

, d =

\sqrt{2}

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Its not an AP

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None of these

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Solution

The correct option is A $a =$ $\sqrt{2}$ $, d =$ $\sqrt{2}$
The sequence $\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, . . .$ can be written as $\sqrt{2}, 2 \sqrt{2}, 3 \sqrt{2}, 4 \sqrt{2}, . . .$
Clearly, it is an AP with first term $a = \sqrt{2}$ and common difference $d = \sqrt{2}$ .

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Similar questions

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 common difference

d

and write three more terms if the following sequence is an AP:

2, 4, 8, 16, .

Q. Question 5
The first four terms of an AP whose first term is – 2 and the common difference is – 2 are

A) – 2, 0, 2, 4
B) – 2, 4, –8, 16
C) – 2, – 4, – 6 , – 8
D) – 2, – 4, – 8, – 16

Write first four terms of the AP, when the first term a and common difference d are given as follows:
(i) a= -2, d=0
(ii) a=4, d=-3
(iii) a= -1.25, d= -0.25

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Find first term 'a' and common difference 'd' for the following AP.√2, √8, √18, √32,.....

The correct option is A a= √2,d= √2The sequence √2,√8,√18,√32,... can be written as √2,2√2,3√2,4√2,...Clearly, it is an AP with first term a=√2 and common difference d=√2.

Find first term 'a' and common difference 'd' for the following AP.
$\sqrt{2}$ , $\sqrt{8}$ , $\sqrt{18}$ , $\sqrt{32}$ ,.....

The correct option is A $a =$ $\sqrt{2}$ $, d =$ $\sqrt{2}$
The sequence $\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, . . .$ can be written as $\sqrt{2}, 2 \sqrt{2}, 3 \sqrt{2}, 4 \sqrt{2}, . . .$
Clearly, it is an AP with first term $a = \sqrt{2}$ and common difference $d = \sqrt{2}$ .