Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Fill in the next number in the list.
1, 3, 7, 13, 21, 31,

Sagot :

GinnyAnswer
Sure, let's solve this step-by-step to find the next number in the series.

1. Observe the series: 1, 3, 7, 13, 21, 31.
2. Calculate the differences between consecutive terms:
- 3 - 1 = 2
- 7 - 3 = 4
- 13 - 7 = 6
- 21 - 13 = 8
- 31 - 21 = 10

These differences are: 2, 4, 6, 8, 10.

3. Notice that the differences themselves form an arithmetic sequence with a common difference of 2.

4. To predict the next term in the series, find the next difference:
- The current difference sequence ends in 10, so the next difference will be 10 + 2 = 12.

5. Add this next difference to the last term in the series to find the next term:
- The last term is 31. Adding the next difference: 31 + 12 = 43.

So, the next number in the series is 43.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.