Q. Find the missing term in the following series ?
10000, 11000, 9900, 10890, ?, 10781
10000, 11000, 9900, 10890, ?, 10781
✅ Correct Answer: (B)
9801
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.
Explanation by: Deepak Sahoo
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.
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.