What should come in place of the question mark (?) in the given series?
779 780 784 793 809 ?
Correct Answer :
834
Solution :
The correct answer is 834.
To find the missing number in the given series, let us observe the pattern of differences between consecutive terms:
We can see that the differences between consecutive terms are consecutive perfect squares:
1 = 12
4 = 22
9 = 32
16 = 42
Following this pattern, the next difference must be 52 = 25.
To find the value of the question mark (?), add 25 to the last term of the series (809):
Thus, the number that comes in place of the question mark is 834.
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