Select the number from among the given options that can replace the question mark (?) in the following series. 5, 18, 70, 278, ?
Correct Answer :
1,110
Solution :
The correct option is 1,110.
To find the missing number in the series, let us analyze the relationship between consecutive terms in the series: 5, 18, 70, 278, ?
Let us look at the transition from the first term to the second term:
Similarly, let us check if this pattern holds for the transition from the second term to the third term:
Next, let us apply the pattern to transition from the third term to the fourth term:
Since the pattern of multiplying by 4 and then subtracting 2 is consistent throughout the series, we can find the next term (represented by the question mark) by applying the same logic to the fourth term (278):
Therefore, the number that replaces the question mark (?) in the series is 1,110.
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