What should come in place of the question mark (?) in the given series? 10 13 19 28 40 ?
Correct Answer :
55
Solution :
The correct answer is 55.
To find the missing number in the given series, let us analyze the pattern of differences between consecutive terms:
First term: 10
Second term: 13
Third term: 19
Fourth term: 28
Fifth term: 40
Sixth term: ?
Let us calculate the difference between consecutive numbers:
13 - 10 = 3
19 - 13 = 6
28 - 19 = 9
40 - 28 = 12
We can observe that the differences form an increasing sequence of multiples of 3: 3, 6, 9, 12, ...
Following this pattern, the next difference to be added to the fifth term (40) is 15 (since 12 + 3 = 15).
Therefore, the missing number (?) is:
Thus, 55 is the correct number to replace the question mark in the series.
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