Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Type the missing numbers in this sequence:\newline8-8, _____, 22, 77, _____, 1717

Full solution

Q. Type the missing numbers in this sequence:\newline8-8, _____, 22, 77, _____, 1717
  1. Identify Pattern: First, let's try to identify a pattern in the given sequence. Since there are two missing numbers, we can't directly calculate the common difference. However, we can use the numbers that are given to find the common difference by looking at the difference between 77 and 22, and then between 1717 and 77.\newlineCalculation: 72=57 - 2 = 5, 177=1017 - 7 = 10
  2. Calculate Common Difference: The differences we found are not the same, which suggests that the common difference might change between the numbers. To find the pattern, we need to consider the possibility of a sequence where the common difference itself is increasing by a constant amount. Let's assume the common difference increases by a constant amount and find that amount using the differences we have.\newlineCalculation for the increase in common difference: 105=510 - 5 = 5
  3. Find Increase in Common Difference: Now that we have found that the common difference increases by 55, we can work backwards from 22 to find the first missing number. If the difference between 77 and 22 is 55, then the difference between 22 and the missing number should be less than 55. Let's subtract 55 from the difference we found between 77 and 22 to find the previous common difference.\newlineCalculation: 2200

More problems from Find terms of an arithmetic sequence