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Find the missing term in the following series ?

10000, 11000, 9900, 10890, ?, 10781

A. 

10423

B. 

9801

C. 

10241

D. 

9712

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Answer with explanation

Answer: Option B

Explanation

Clearly, alternatively we add and subtract 10% of a term to obtain the next term of the series.
Thus, 10000 + (10% of 10000)= 11000;
11000 – (10% of 11000) = 9900;
9900 + (10% of 9900)  = 10890;
10890 – (10% of 10890) = 9801.
9801 + (10% of 9801)  = 9801+980 = 10781.
So, missing term = 10890- (10% of 10890)= 9801.

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