300, 299, 295, 286, 270, ?
Find the missing number in the following number series.
Correct Answer :
245
Solution :
The correct option is 245.
To find the missing number in the given series, let us analyze the pattern of differences between consecutive terms:
Notice that the differences subtracted at each step are consecutive perfect squares:
Following this pattern, the next difference to subtract should be the square of 5:
Now, subtract 25 from the last term (270) to obtain the missing number:
Thus, the missing number in the series is 245.
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