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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, ?

Options
749
640
662
736
700

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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.

This problem has been solved

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