what is the next number below?
5,13,29,6_,_
61, 125
Alicia, it does not help just to give a student the answers. If you aren't going to explain how YOU got the answer, then please don't post.
To find the missing numbers in the sequence 5, 13, 29, 6, _, you need to determine the pattern or rule that governs the numbers.
Looking at the given sequence, it's not immediately apparent what the pattern might be. However, we can try different mathematical operations on the numbers to see if anything stands out.
One possible pattern we could try is adding 8 to each number, as the differences between the numbers in the first three terms are 8, 16, and 8, respectively. Following this pattern, the fourth term would be 6 + 8 = 14. However, this doesn't match the given sequence, so we can try a different approach.
Another possible pattern to consider is squaring the numbers. The square of 5 is 25, which is close to 29 but not an exact match. The square of 13 is 169, so this pattern doesn't hold either.
Let's take a closer look at the numbers. We notice that the first three numbers are prime numbers (numbers that are only divisible by 1 and themselves). Based on this observation, we can assume the missing numbers are also prime.
Let's check if the next prime numbers after 29 are 31 and 37. If we add these two numbers to the sequence, we have 5, 13, 29, 6, 31, 37.
Therefore, the missing numbers in the given sequence are 31 and 37.