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What should come in place of the question mark (?) in the given series? 96, 104, 112, ?, 128, 136
115
110
125
120
120
Observe that the difference between consecutive terms is constant; here, adding 8 to each term gives the next term.
Observe that the difference between consecutive terms is constant; here, adding 8 to each term gives the next term.
Analyze the pattern
Look at the differences between consecutive numbers: 104 - 96 = 8, 112 - 104 = 8, 136 - 128 = 8.
Apply the pattern to the missing term
Since the constant difference is +8, add 8 to the third term (112): 112 + 8 = 120.
Verify the result
Check if adding 8 to 120 results in the next term: 120 + 8 = 128. This confirms the logic.
A: 115 is incorrect because the difference 115 - 112 is 3, which breaks the +8 pattern. B: 110 is incorrect because the difference 110 - 112 is -2, which breaks the +8 pattern. C: 125 is incorrect because the difference 125 - 112 is 13, which does not follow the +8 pattern.
D is correct because the series follows a consistent arithmetic progression with a common difference of 8, and 112 + 8 equals 120.
In any number series, always calculate the difference between the first three terms first; if they are equal, the series is likely a simple Arithmetic Progression.
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