Select the number from among the given options that can replace the question mark (?) in the following series.
115, 140, 160, 175, 185, ?
Correct Answer :
190
Solution :
The correct answer is 190.
To find the missing number that replaces the question mark (?) in the series, let's analyze the differences between consecutive terms:
115, 140, 160, 175, 185, ?
Let's calculate the difference between each term and the preceding one:
First difference:
Second difference:
Third difference:
Fourth difference:
Looking at the differences: 25, 20, 15, 10, we can see that they form a decreasing arithmetic progression where each difference decreases by 5.
Following this pattern, the next difference must be:
To find the next term (?) in the series, we add this difference to the last term (185):
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