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Question

Melissa is playing a card game with her friends. Help her find the next card, if the cards are numbered with the given pattern.


A
A176
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B
A200
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C
A174
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D
A180
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Solution

The correct option is B A200
The given sequence is A125, A150, A175.

Each term contains A as the first letter.

Hence, the last term should also contain A as the first letter.

The numbers in the sequence are 125, 150, 175.

Let us find the difference between the terms.

Difference between the 1st and the 2nd terms = 150 - 125 = 25

Difference between the 2nd and the 3rd terms = 175 - 150 = 25

Therefore, to find the next term, we have to add 25 to the numeric part of the term.

Hence, the next numeric part in the last term is 175 + 25 = 200, and the term is A200.

Hence, the next term in the pattern is A200.

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