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Find the missing number in the following series. 4, 7, 11, 18, 29, 47, (…), 123, 199
Question

Find the missing number in the following series.
4, 7, 11, 18, 29, 47, (…), 123, 199

A.

102

B.

70

C.

76

D.

84

Correct option is C

Given:
4, 7, 11, 18, 29, 47, (…), 123, 199
Identification of logic:
Starting with the third number of the series, each number is the sum of the preceding two numbers. third term = second term + first term = 7 + 4 = 11
logic: difference is Sum of preceding two number.
application of logic:
forth number = 11 + 7 = 18
similarly, 18 11 = 29 29 18 = 47
47 29 = 76
76 47 = 123
123 76 = 199
finally, we got the missing number is 76.

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