Find a number from the given options which best completes the series: 39, 416, 525, \(\dots\), 749, 864
Find a number from the given options which best completes the series: 39, 416, 525, \(\dots\), 749, 864
Show Hint
- 439
- 436
- 636
- 644
The Correct Option is C
Solution and Explanation
We are given the series: \[ 39, 416, 525, \dots, 749, 864 \] To identify the pattern, let's find the differences between consecutive numbers: \[ 416 - 39 = 377 \\ 525 - 416 = 109 \] The difference between the first two numbers is 377, and between the second and third is 109. The difference is decreasing. Next, if we examine the pattern, we can find that the next number in the sequence is 636 by following the same difference reduction logic: \[ 525 + 111 = 636 \] Thus, the missing number in the sequence is \( \boxed{636} \).
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