Multiple choice

Find the next term in the sequence. $117, 389, 525, 593, 627 ?$

  1. 644

  2. 640

  3. 634

  4. 630

  5. none of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The differences between consecutive terms are: 389-117=272, 525-389=136, 593-525=68, 627-593=34. The differences are halved each time (272, 136, 68, 34). The next difference should be 34/2 = 17. Adding 17 to 627 gives 644.

AI explanation

We analyze the differences between consecutive terms, which are 272, 136, 68, and 34. This reveals that the series is generated by continually halving the difference between successive terms. The next difference in this geometric sequence is 34 / 2, which equals 17. Adding this difference to the last term gives 627 + 17 = 644.

Keep practicing — related questions