Question

Which number will take place of (?) in the following number series?
16, 23, 31, 40, 50, 61, ?​

Answer 1

Answer:

73 will take place of ? sign

Step-by-step explanation:

there is an alternative gap between all the numbers

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Answer 2

Given:

A series of numbers 16, 23, 31, 40, 50, 61, ?​

To Find:

The next term in the series is?

Solution:

The given problem can be solved by developing a common logic between every term.

1. The given series is 16, 23, 31, 40, 50, 61.

2. The second term in the series is obtained as,

=> Second term = 23 = 16 + 7, ( First term + 7 )

3. The third term of the series is obtained as,

=>Third term = 31 = 23 + 8, ( Second term + 8 )

4. The fourth term of the series is obtained as,

=>Fourth term = 40 = 31 + 9, ( Third term + 9 )

5. The fifth term of the series is obtained as,

=>Fifth term = 50 = 40 + 10, ( Fourth term + 10 )

6. The sixth term of the series is obtained as,

=>Sixth term = 61 = 50 + 11, ( Fifth term + 11 )

7. The seventh term of the series can be obtained using similar logic,

=> Seventh term = Sixth term + 12 = 61 + 12 = 73.

Therefore, the next number in the series is 73.