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Question

Reva is playing a game with her friends. There are bits of paper in a glass jar with numbers on it. Reva's friend, Pia, picks up 5 papers with the numbers given below and finds that they form a series.

2, 4, 8, 14, 22

The above numbers form a series. Find what the next number in the series would be.

A
32
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B
24
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C
30
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D
34
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Solution

The correct option is A 32

4 – 2 = 2
8 – 4 = 4
14 – 8 = 6
22 – 14 = 8

2, 4, 6, and 8 follow a pattern as they are the multiples of 2.
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8

Similarly, the next diference will be of 2 x 5, i.e., 10.

Thus, the next number will be 32, i.e., 22 + 10.

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