Question

Find the missing number in the given number series. 999, 1002, 995, 1010, ?, 1042

A 880 Correct Answer Incorrect Answer
B 1000 Correct Answer Incorrect Answer
C 979 Correct Answer Incorrect Answer
D 940 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

ATQ, Check differences: +3, −7, +15, ?, +32 (if from 1010) doesn’t fit; instead use full pattern: +3, −7, +15, −31, +63 These are: +3 = + (2²−1) −7 = −(2³−1) +15 = + (2⁴−1) −31 = −(2⁵−1) +63 = + (2⁶−1) So missing step: 1010 − 31 = 979

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