Find the common difference of the following AP- 3-3 - - 2- 3-2- 2 -3-3- 2

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Standard X

Mathematics

Common Difference

Find the comm...

Question

Find the common difference of the following AP:
$3.3 + \sqrt{2,} 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}$

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Solution

The given sequence is an A.P.
Common difference $=$ second term $-$ First term
$= 3 + \sqrt{2} - 3$
$= \sqrt{2}$

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Find the common difference of the following arithmetic progression.
$3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$

Question 4 (v)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(v) $3, 3 + \sqrt{2}, 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}$

Q. Is the given sequence

3, 3 + \sqrt{2}, 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}

form an APs? If it forms an AP, find the common difference

d

and write the next three terms.

Question 4 (v)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(v) $3, 3 + \sqrt{2}, 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}$

Q. Check if given series is

A P

or not? If it is an

A P

, find the common difference

d

and write three more terms.

3, 3 + \sqrt{2}, 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}, .

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Find the common difference of the following AP:3.3+√2,3+2√2,3+3√2

The given sequence is an A.P.Common difference = second term − First term=3+√2−3=√2

Find the common difference of the following AP:
$3.3 + \sqrt{2,} 3 + 2 \sqrt{2}, 3 + 3 \sqrt{2}$

The given sequence is an A.P.
Common difference $=$ second term $-$ First term
$= 3 + \sqrt{2} - 3$
$= \sqrt{2}$