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Question

Write the number of chords in each figure as a sequence.

Do they follow arithmetic sequence?


A

1, 3, 6, 9; Yes

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B

1, 3, 6, 9; No

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C

1, 3, 6, 10; Yes

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D

1, 3, 7, 10; No

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Solution

The correct option is B

1, 3, 6, 9; No


Number of chords in circle 1 = 1

Number of chords in circle 2 = 3

Number of chords in circle 3 = 6

Number of chords in circle 4 = 9

The sequence is 1, 3, 6, 9

3 - 1 = 2

6 - 3 = 3

9 - 6 = 3

Difference is not same. So, it is not an arithmetic sequence.


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