The common difference for the arithmetic progression3-2-2- 3-4-2- 3-6-2- 3-8-2 is

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Common Difference

The common di...

Question

The common difference for the arithmetic progression
$3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$ is

3 + \sqrt{2}

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3

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2 \sqrt{2}

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Solution

The correct option is C $2 \sqrt{2}$
Given A.P is
$3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$
Common difference is the difference between two consecutive terms in an arithmetic sequence.
$(3 + 4 \sqrt{2}) - (3 + 2 \sqrt{2}) = 2 \sqrt{2}$
$(3 + 6 \sqrt{2}) - (3 + 4 \sqrt{2}) = 2 \sqrt{2}$
$(3 + 8 \sqrt{2}) - (3 + 6 \sqrt{2}) = 2 \sqrt{2}$

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Q.
Find the common difference for the arithmetic progression

3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}

Find the common difference of the following arithmetic progression.
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Find the common difference and write the next four terms of each of the following arithmetic progressions:
(i) $1, - 2, - 5, - 8, \dots$
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Q. If

a_{1}, a_{2}, a_{3}, \dots

is an arithmetic progression with common difference 1 and

a_{1} + a_{2} + a_{3} + \dots \dots + a_{98} = 137

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? [2 MARKS]

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The common difference for the arithmetic progression 3+2√2, 3+4√2, 3+6√2, 3+8√2 is

The correct option is C 2√2Given A.P is 3+2√2, 3+4√2, 3+6√2, 3+8√2 Common difference is the difference between two consecutive terms in an arithmetic sequence. (3+4√2)−(3+2√2)=2√2 (3+6√2)−(3+4√2)=2√2 (3+8√2)−(3+6√2)=2√2

The common difference for the arithmetic progression
$3 + 2 \sqrt{2}, 3 + 4 \sqrt{2}, 3 + 6 \sqrt{2}, 3 + 8 \sqrt{2}$ is