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Find the next number in the following se...

Find the next number in the following series.
16, 18, 22, 24, 28. 30, ?

A

25

B

30

C

27

D

34

Text Solution

AI Generated Solution

The correct Answer is:
To find the next number in the series 16, 18, 22, 24, 28, 30, we can follow these steps: ### Step 1: Identify the pattern in the series Let's write down the series: 16, 18, 22, 24, 28, 30. ### Step 2: Calculate the differences between consecutive numbers - From 16 to 18: 18 - 16 = 2 - From 18 to 22: 22 - 18 = 4 - From 22 to 24: 24 - 22 = 2 - From 24 to 28: 28 - 24 = 4 - From 28 to 30: 30 - 28 = 2 ### Step 3: Observe the pattern in the differences The differences are: - 2, 4, 2, 4, 2 We can see that the differences alternate between adding 2 and adding 4. ### Step 4: Determine the next difference Following the established pattern, the next difference after the last one (which was +2) should be +4. ### Step 5: Calculate the next number Now, we add 4 to the last number in the series: 30 + 4 = 34 ### Conclusion The next number in the series is **34**. ---
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