Direction: What should come in place of question mark (?) in the following number series? 101, 204, 309, 416, 525, 636, ?Options749640662736700
Question
Direction: What should come in place of question mark (?) in the following number series? 101, 204, 309, 416, 525, 636, ?Options749640662736700
Solution
To find the number that should come in place of the question mark (?), we need to identify the pattern in the given series: 101, 204, 309, 416, 525, 636, ?
Step 1: Calculate the differences between consecutive terms in the series. 204 - 101 = 103 309 - 204 = 105 416 - 309 = 107 525 - 416 = 109 636 - 525 = 111
Step 2: Observe the pattern in the differences. The differences are increasing by 2 each time: 103, 105, 107, 109, 111.
Step 3: Predict the next difference. The next difference should be 111 + 2 = 113.
Step 4: Add the predicted difference to the last term in the series. 636 + 113 = 749
Therefore, the number that should come in place of the question mark is 749.
Options: 749 640 662 736 700
The correct answer is 749.
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