Question : Directions: Which of the following numbers will replace the question mark (?) in the given series to make it logically complete?
8, 17, ?, 197, 773, 3077
Option 1: 57
Option 2: 53
Option 3: 45
Option 4: 69
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Correct Answer: 53
Solution :
Given:
8, 17, ?, 197, 773, 3077
Add 4 times the previous difference to get the next term –
8 + 9 = 17;
17 + (9 × 4) = 17 + 36 = 53;
53 + (36 × 4) = 53 + 144 = 197;
197 + (144 × 4) = 197 + 576 = 773;
773 + (576 × 4) = 773 + 2304 = 3077
So, 53 is the required missing term in the series. Hence, the second option is correct.
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