Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing numbers in this sequence:\newline6969, 6060, 5151, 4242, _____, _____, 1515

Full solution

Q. Type the missing numbers in this sequence:\newline6969, 6060, 5151, 4242, _____, _____, 1515
  1. Determine Pattern: We need to determine the pattern in the sequence. By looking at the sequence, we can see that each number is decreasing by a certain amount. Let's find the difference between the first two numbers.\newlineCalculation: 6960=969 - 60 = 9\newlineThe difference between the first two numbers is 99.
  2. Calculate Differences: Now let's check if the same difference applies to the next pair of numbers in the sequence.\newlineCalculation: 6051=960 - 51 = 9\newlineThe difference between the second and third numbers is also 99.
  3. Confirm Consistency: We will check the difference between the third and fourth numbers to confirm the pattern.\newlineCalculation: 5142=951 - 42 = 9\newlineThe difference between the third and fourth numbers is again 99.
  4. Apply Pattern: Since the pattern of decreasing by 99 is consistent, we can apply this pattern to find the next number in the sequence.\newlineCalculation: 429=3342 - 9 = 33\newlineThe next number in the sequence is 3333.
  5. Find Next Number: Now we will find the second missing number in the sequence by subtracting 99 from the number we just found.\newlineCalculation: 339=2433 - 9 = 24\newlineThe second missing number in the sequence is 2424.
  6. Find Second Missing Number: To ensure our pattern is correct, let's check if subtracting 99 from the last number we found will give us the final number in the sequence, which is 1515.\newlineCalculation: 249=1524 - 9 = 15\newlineThe result is 1515, which matches the last number in the sequence, confirming our pattern is correct.

More problems from Arithmetic sequences