Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing numbers in this sequence:\newline5252, _____\_\_\_\_\_, 7070, 7979, 8888, _____\_\_\_\_\_, 106106

Full solution

Q. Type the missing numbers in this sequence:\newline5252, _____\_\_\_\_\_, 7070, 7979, 8888, _____\_\_\_\_\_, 106106
  1. Identify Sequence Type: Is the given sequence geometric or arithmetic?\newlineHere, the difference between consecutive terms is not immediately clear, but we can assume it's an arithmetic sequence since that's a common type of sequence and there are no clear signs of multiplication or division between terms.
  2. Find Common Difference: Find the common difference in the arithmetic sequence.\newlineWe can use the terms 7979 and 8888 to find the common difference since they are consecutive terms.\newline8879=988 - 79 = 9\newlineCommon Difference: 99
  3. Find First Missing Number: Find the first missing number in the sequence.\newlineIf the common difference is 99, we can subtract 99 from 7070 to find the missing term before it.\newline709=6170 - 9 = 61\newlineFirst Missing Number: 6161
  4. Find Second Missing Number: Find the second missing number in the sequence.\newlineIf the common difference is 99, we can add 99 to 8888 to find the missing term after it.\newline88+9=9788 + 9 = 97\newlineSecond Missing Number: 9797
  5. Check Sequence Consistency: Check the sequence with the found missing numbers to ensure it is consistent.\newlineThe sequence should now be: 52,61,70,79,88,97,10652, 61, 70, 79, 88, 97, 106.\newlineWe can check if the difference between each term is indeed 99.\newline6152=961 - 52 = 9\newline7061=970 - 61 = 9\newline7970=979 - 70 = 9\newline8879=988 - 79 = 9\newline9788=997 - 88 = 9\newline10697=9106 - 97 = 9\newlineAll differences are 99, so the sequence is consistent.

More problems from Arithmetic sequences