Question

Find a number from the given options which best completes the series: 39, 416, 525, \(\dots\), 749, 864 
 

• A. 439
• B. 436
• C. 636
• D. 644

Hint:

When solving number sequences, observe the pattern of differences between consecutive terms to predict the next number.

Answer 1

The Correct Option is C

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 \( \boxed{636} \).