Question

Directions: Below is a sequence in which one term is missing. Choose the correct alternative from the given ones that will complete the series.

10000, 11000, 9900, 10890, 9801, ?

1. 10261
2. 10425
3. 10781
4. 10771

Answer 1

Correct Answer - Option 3 : 10781

The pattern followed here is shown below:

⇒ 10000 + (\(\frac{1}{10 }\)× 10000) = 10000 + 1000 = 11000

⇒ 11000 - (\(\frac{1}{10 }\) × 11000) = 11000 - 1100 = 9900

⇒ 9900 + ( \(\frac{1}{10 }\) × 9900) = 9900 + 990 = 10890

⇒ 10890 - ( \(\frac{1}{10 }\) × 10890) = 10890 - 1089 = 9801

⇒ 9801 + (\(\frac{1}{10 }\) × 9801) = 9801 + 980.1 = 10781.1 which is equivalent to 10781

Hence, "10781" is the correct answer.