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What should come in place of the question mark (?) in the given series? 14, 19, 29, 44, 64, ?
89
88
84
82
89
Observe the differences between consecutive terms; they follow a simple arithmetic progression of +5, +10, +15, +20, +25.
Observe the differences between consecutive terms; they follow a simple arithmetic progression of +5, +10, +15, +20, +25.
Analyze the difference between terms
Calculate the difference between consecutive numbers: 19-14 = 5, 29-19 = 10, 44-29 = 15, 64-44 = 20.
Identify the pattern
The differences are multiples of 5: 5, 10, 15, 20. The next difference in the sequence must be 25.
Calculate the final term
Add the next difference to the last known term: 64 + 25 = 89.
B: 88 is incorrect as it results from a difference of 24 instead of 25. C: 84 is incorrect as it results from a difference of 20. D: 82 is incorrect as it results from a difference of 18.
A is correct because the series follows an addition pattern where the difference between consecutive terms increases by 5 each time, leading to 64 + 25 = 89.
If a series shows a steady increase, always check the 'difference of differences' to reveal hidden quadratic or arithmetic patterns.
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