Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series.
9, 21, 45, 93, ?, 381
Option 1: 189
Option 2: 198
Option 3: 188
Option 4: 112
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Correct Answer: 189
Solution :
Given:
9, 21, 45, 93, ?, 381
Multiply each term by 2 and add 3 to get the next term of the series –
(9 × 2) + 3 = 18 + 3 = 21;
(21 × 2) + 3 = 42 + 3 = 45;
(45 × 2) + 3 = 90 + 3 = 93;
(93 × 2) + 3 = 186 + 3 = 189;
(189 × 2) + 3 = 378 + 3 = 381
So, the missing number of the series is 189. Hence, the first option is correct.
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