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Question

Which of the given expressions represent/s the pattern 1, 4, 7, 10, 13..... ?

A
3n+1
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B
3n+2
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C
3n-2
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D
3n
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Solution

The correct options are
A 3n+1
C 3n-2
On careful observation, you can see that each term in the pattern is one more than multiples of three.
Since the multiples of 3 can be represented by 3n, the pattern can be represented by 3n+1 (where n is 0, 1, 2...)
But each term can also be thought of two less than multiples of 3.
So, the pattern can also be represented by 3n-2 (where n is 1, 2, 3....)
Hence 3n + 1 and 3n -2 are the correct options.

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