Multiple choice

In each of the following questions, a series is given, with one missing term. Choose the correct alternative from the given choices that will complete the series. $10000, 11000, 9900, 10890, 9801, ?$

  1. $10261$
  2. $10425$
  3. $10781$
  4. $10771$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The series follows a pattern of alternately adding and subtracting 10% of the current number: 10000+1000=11000, 11000-1100=9900, 9900+990=10890, 10890-1089=9801, 9801+980.1=10781.1≈10781. Each operation is 10% of the current value, alternating between addition and subtraction.

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